100885680 has 240 divisors, whose sum is σ = 398409024. Its totient is φ = 22394880.

The previous prime is 100885679. The next prime is 100885691. The reversal of 100885680 is 86588001.

100885680 is a `hidden beast` number, since 10 + 0 + 88 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 186210 + ... + 186750.

Almost surely, 2^100885680 is an apocalyptic number.

100885680 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 100885680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199204512).

100885680 is an abundant number, since it is smaller than the sum of its proper divisors (297523344).

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

100885680 is a wasteful number, since it uses less digits than its factorization.

100885680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 100885680 is about 10044.1863781991. The cubic root of 100885680 is about 465.5251783974.

The spelling of 100885680 in words is "one hundred million, eight hundred eighty-five thousand, six hundred eighty".