10000100 has 36 divisors (see below), whose sum is σ = 23675568. Its totient is φ = 3636000.

The previous prime is 10000079. The next prime is 10000103. The reversal of 10000100 is 100001.

It is a sliding number, since 10000100 = 100 + 10000000 and 1/100 + 1/10000000 = 0.010000100.

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 not an unprimeable number, because it can be changed into a prime (10000103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3446 + ... + 5645.

Almost surely, 2^10000100 is an apocalyptic number.

10000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000100 is an abundant number, since it is smaller than the sum of its proper divisors (13675468).

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

10000100 is a wasteful number, since it uses less digits than its factorization.

10000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9116 (or 9109 counting only the distinct ones).

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

The square root of 10000100 is about 3162.2934715172. The cubic root of 10000100 is about 215.4441871457. Note that the first 3 decimals are identical.

Adding to 10000100 its reverse (100001), we get a palindrome (10100101).

Subtracting from 10000100 its reverse (100001), we obtain a palindrome (9900099).

Multiplying 10000100 by its reverse (100001), we get a square (1000020000100 = 1000010²).

10000100 divided by its reverse (100001) gives a square (100 = 10²).

The spelling of 10000100 in words is "ten million, one hundred", and thus it is an aban number.