100882720 has 48 divisors (see below), whose sum is σ = 244791288. Its totient is φ = 39260160.

The previous prime is 100882697. The next prime is 100882721. The reversal of 100882720 is 27288001.

It can be written as a sum of positive squares in 4 ways, for example, as 100881936 + 784 = 10044^2 + 28^2 .

It is not an unprimeable number, because it can be changed into a prime (100882721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2601 + ... + 14440.

Almost surely, 2^100882720 is an apocalyptic number.

100882720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100882720 is an abundant number, since it is smaller than the sum of its proper divisors (143908568).

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

100882720 is a wasteful number, since it uses less digits than its factorization.

100882720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17093 (or 17085 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 100882720 is about 10044.0390281998. The cubic root of 100882720 is about 465.5206254948.

The spelling of 100882720 in words is "one hundred million, eight hundred eighty-two thousand, seven hundred twenty".