100616880 has 320 divisors, whose sum is σ = 407973888. Its totient is φ = 19906560.

The previous prime is 100616851. The next prime is 100616891. The reversal of 100616880 is 88616001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 371145 + ... + 371415.

Almost surely, 2^100616880 is an apocalyptic number.

100616880 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 100616880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

100616880 is an abundant number, since it is smaller than the sum of its proper divisors (307357008).

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

100616880 is a wasteful number, since it uses less digits than its factorization.

100616880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 100616880 is about 10030.7965785375. The cubic root of 100616880 is about 465.1113619279. Note that the first 3 decimals are identical.

The spelling of 100616880 in words is "one hundred million, six hundred sixteen thousand, eight hundred eighty".