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100010000 = 245473137
BaseRepresentation
bin1011111011000…
…00100000010000
320222012000221002
411331200200100
5201100310000
613531321132
72323033226
oct575404020
9228160832
10100010000
11514a8aa2
12295b01a8
131794821c
14d3d4b16
158ba78d5
hex5f60810

100010000 has 100 divisors (see below), whose sum is σ = 247242732. Its totient is φ = 39168000.

The previous prime is 100009979. The next prime is 100010017. The reversal of 100010000 is 10001.

Added to its reverse (10001) it gives a square (100020001 = 100012).

It can be written as a sum of positive squares in 10 ways, for example, as 70023424 + 29986576 = 8368^2 + 5476^2 .

It is a sliding number, since 100010000 = 10000 + 100000000 and 1/10000 + 1/100000000 = 0.000100010000.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (2).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 729932 + ... + 730068.

Almost surely, 2100010000 is an apocalyptic number.

100010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 10000×10001.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621366).

100010000 is an abundant number, since it is smaller than the sum of its proper divisors (147232732).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100010000 is an equidigital number, since it uses as much as digits as its factorization.

100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 2.

The square root of 100010000 is about 10000.4999875006. The cubic root of 100010000 is about 464.1743548084.

Adding to 100010000 its reverse (10001), we get a palindrome (100020001).

Subtracting from 100010000 its reverse (10001), we obtain a palindrome (99999999).

Multiplying 100010000 by its reverse (10001), we get a square (1000200010000 = 10001002).

100010000 divided by its reverse (10001) gives a 4-th power (10000 = 104).

The spelling of 100010000 in words is "one hundred million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 125 137 146 200 250 274 292 365 400 500 548 584 625 685 730 1000 1096 1168 1250 1370 1460 1825 2000 2192 2500 2740 2920 3425 3650 5000 5480 5840 6850 7300 9125 10000 10001 10960 13700 14600 17125 18250 20002 27400 29200 34250 36500 40004 45625 50005 54800 68500 73000 80008 85625 91250 100010 137000 146000 160016 171250 182500 200020 250025 274000 342500 365000 400040 500050 685000 730000 800080 1000100 1250125 1370000 2000200 2500250 4000400 5000500 6250625 10001000 12501250 20002000 25002500 50005000 100010000