Search a number
-
+
100100000 = 255571113
BaseRepresentation
bin1011111011101…
…10011110100000
320222100121101102
411331312132200
5201111200000
613533253532
72323556510
oct575663640
9228317342
10100100000
115155a680
12296342a8
131797a190
14d419840
158bc43d5
hex5f767a0

100100000 has 288 divisors, whose sum is σ = 330728832. Its totient is φ = 28800000.

The previous prime is 100099981. The next prime is 100100051. The reversal of 100100000 is 1001.

Adding to 100100000 its reverse (1001), we get a palindrome (100101001).

100100000 divided by its reverse (1001) gives a 5-th power (100000 = 105).

It is a sliding number, since 100100000 = 100000 + 100000000 and 1/100000 + 1/100000000 = 0.0000100100000.

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 47 ways as a sum of consecutive naturals, for example, 7699994 + ... + 7700006.

It is an arithmetic number, because the mean of its divisors is an integer number (1148364).

Almost surely, 2100100000 is an apocalyptic number.

100100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

100100000 is an abundant number, since it is smaller than the sum of its proper divisors (230628832).

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

100100000 is an equidigital number, since it uses as much as digits as its factorization.

100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 38 counting only the distinct ones).

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

The square root of 100100000 is about 10004.9987506246. The cubic root of 100100000 is about 464.3135514445.

The spelling of 100100000 in words is "one hundred million, one hundred thousand".