100816900 has 36 divisors (see below), whose sum is σ = 219239440. Its totient is φ = 40240800.

The previous prime is 100816883. The next prime is 100816901. The reversal of 100816900 is 9618001.

It is a super-2 number, since 2×100816900² = 20328094651220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (100816901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68371 + ... + 69829.

Almost surely, 2^100816900 is an apocalyptic number.

100816900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100816900 is an abundant number, since it is smaller than the sum of its proper divisors (118422540).

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

100816900 is a wasteful number, since it uses less digits than its factorization.

100816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 100816900 is about 10040.7619232805. The cubic root of 100816900 is about 465.4193619230.

The spelling of 100816900 in words is "one hundred million, eight hundred sixteen thousand, nine hundred".