100880640 has 360 divisors, whose sum is σ = 415504320. Its totient is φ = 22892544.

The previous prime is 100880639. The next prime is 100880651. The reversal of 100880640 is 46088001.

100880640 is a `hidden beast` number, since 10 + 0 + 8 + 8 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725691 + ... + 725829.

Almost surely, 2^100880640 is an apocalyptic number.

100880640 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 100880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207752160).

100880640 is an abundant number, since it is smaller than the sum of its proper divisors (314623680).

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

100880640 is an equidigital number, since it uses as much as digits as its factorization.

100880640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100880640 is about 10043.9354836638. The cubic root of 100880640 is about 465.5174261047.

The spelling of 100880640 in words is "one hundred million, eight hundred eighty thousand, six hundred forty".