100866960 has 120 divisors (see below), whose sum is σ = 353530944. Its totient is φ = 25724160.

The previous prime is 100866923. The next prime is 100866989. The reversal of 100866960 is 69668001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13515 + ... + 19605.

Almost surely, 2^100866960 is an apocalyptic number.

100866960 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 100866960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176765472).

100866960 is an abundant number, since it is smaller than the sum of its proper divisors (252663984).

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

100866960 is a wasteful number, since it uses less digits than its factorization.

100866960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6133 (or 6124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 100866960 is about 10043.2544526164. The cubic root of 100866960 is about 465.4963828656.

The spelling of 100866960 in words is "one hundred million, eight hundred sixty-six thousand, nine hundred sixty".