100536576 has 72 divisors (see below), whose sum is σ = 305815104. Its totient is φ = 28723200.

The previous prime is 100536571. The next prime is 100536577. The reversal of 100536576 is 675635001.

It is a super-2 number, since 2×100536576² = 20215206227607552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100536571) 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 7 ways as a sum of consecutive naturals, for example, 3975 + ... + 14726.

It is an arithmetic number, because the mean of its divisors is an integer number (4247432).

Almost surely, 2^100536576 is an apocalyptic number.

100536576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100536576 is an abundant number, since it is smaller than the sum of its proper divisors (205278528).

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

100536576 is an equidigital number, since it uses as much as digits as its factorization.

100536576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18727 (or 18713 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 100536576 is about 10026.7929070067. The cubic root of 100536576 is about 464.9875912980.

The spelling of 100536576 in words is "one hundred million, five hundred thirty-six thousand, five hundred seventy-six".