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10100100 = 22352131257
BaseRepresentation
bin100110100001…
…110110000100
3201000010201210
4212201312010
510041200400
61000251420
7151564233
oct46416604
921003653
1010100100
11577939a
123470b70
1321282ba
1414acb1a
15d47950
hex9a1d84

10100100 has 72 divisors (see below), whose sum is σ = 29560608. Its totient is φ = 2662400.

The previous prime is 10100099. The next prime is 10100107. The reversal of 10100100 is 100101.

It is a Harshad number since it is a multiple of its sum of digits (3).

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 not an unprimeable number, because it can be changed into a prime (10100107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39172 + ... + 39428.

It is an arithmetic number, because the mean of its divisors is an integer number (410564).

Almost surely, 210100100 is an apocalyptic number.

10100100 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 10100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780304).

10100100 is an abundant number, since it is smaller than the sum of its proper divisors (19460508).

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

10100100 is a wasteful number, since it uses less digits than its factorization.

10100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10100100 is about 3178.0654492946. The cubic root of 10100100 is about 216.1599466890.

Adding to 10100100 its reverse (100101), we get a palindrome (10200201).

Subtracting from 10100100 its reverse (100101), we obtain a palindrome (9999999).

The spelling of 10100100 in words is "ten million, one hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 131 150 257 262 300 393 514 524 655 771 786 1028 1285 1310 1542 1572 1965 2570 2620 3084 3275 3855 3930 5140 6425 6550 7710 7860 9825 12850 13100 15420 19275 19650 25700 33667 38550 39300 67334 77100 101001 134668 168335 202002 336670 404004 505005 673340 841675 1010010 1683350 2020020 2525025 3366700 5050050 10100100