100516880 has 40 divisors (see below), whose sum is σ = 241246464. Its totient is φ = 38908800.

The previous prime is 100516861. The next prime is 100516883. The reversal of 100516880 is 88615001.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (100516883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17786 + ... + 22745.

Almost surely, 2^100516880 is an apocalyptic number.

100516880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100516880 is an abundant number, since it is smaller than the sum of its proper divisors (140729584).

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

100516880 is a wasteful number, since it uses less digits than its factorization.

100516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40575 (or 40569 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 29.

The square root of 100516880 is about 10025.8106904130. The cubic root of 100516880 is about 464.9572242611.

The spelling of 100516880 in words is "one hundred million, five hundred sixteen thousand, eight hundred eighty".