100882080 has 288 divisors, whose sum is σ = 393788304. Its totient is φ = 23298048.

The previous prime is 100882079. The next prime is 100882121. The reversal of 100882080 is 80288001.

It can be written as a sum of positive squares in 8 ways, for example, as 14837904 + 86044176 = 3852^2 + 9276^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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, 318082 + ... + 318398.

Almost surely, 2^100882080 is an apocalyptic number.

100882080 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 100882080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196894152).

100882080 is an abundant number, since it is smaller than the sum of its proper divisors (292906224).

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

100882080 is a wasteful number, since it uses less digits than its factorization.

100882080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 100882080 is about 10044.0071684562. The cubic root of 100882080 is about 465.5196410718.

The spelling of 100882080 in words is "one hundred million, eight hundred eighty-two thousand, eighty".