100536920 has 64 divisors (see below), whose sum is σ = 252836640. Its totient is φ = 35660800.

The previous prime is 100536907. The next prime is 100537007. The reversal of 100536920 is 29635001.

It is a self number, because there is not a number n which added to its sum of digits gives 100536920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15254 + ... + 20826.

Almost surely, 2^100536920 is an apocalyptic number.

100536920 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 100536920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126418320).

100536920 is an abundant number, since it is smaller than the sum of its proper divisors (152299720).

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

100536920 is a wasteful number, since it uses less digits than its factorization.

100536920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5636 (or 5632 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 100536920 is about 10026.8100610314. The cubic root of 100536920 is about 464.9881216375.

The spelling of 100536920 in words is "one hundred million, five hundred thirty-six thousand, nine hundred twenty".