100513920 has 128 divisors (see below), whose sum is σ = 345119040. Its totient is φ = 24735744.

The previous prime is 100513901. The next prime is 100513939. The reversal of 100513920 is 29315001.

It is an interprime number because it is at equal distance from previous prime (100513901) and next prime (100513939).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×100513920² = 20206096227532800, which contains 22 as substring.

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, 22947 + ... + 26973.

Almost surely, 2^100513920 is an apocalyptic number.

100513920 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 100513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172559520).

100513920 is an abundant number, since it is smaller than the sum of its proper divisors (244605120).

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

100513920 is a wasteful number, since it uses less digits than its factorization.

100513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4050 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 100513920 is about 10025.6630703410. The cubic root of 100513920 is about 464.9526602287.

Adding to 100513920 its reverse (29315001), we get a palindrome (129828921).

The spelling of 100513920 in words is "one hundred million, five hundred thirteen thousand, nine hundred twenty".