100970880 has 128 divisors (see below), whose sum is σ = 329598720. Its totient is φ = 26277888.

The previous prime is 100970879. The next prime is 100970941. The reversal of 100970880 is 88079001.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81949 + ... + 83171.

It is an arithmetic number, because the mean of its divisors is an integer number (2574990).

Almost surely, 2^100970880 is an apocalyptic number.

100970880 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 100970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164799360).

100970880 is an abundant number, since it is smaller than the sum of its proper divisors (228627840).

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

100970880 is a wasteful number, since it uses less digits than its factorization.

100970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 100970880 is about 10048.4267425304. The cubic root of 100970880 is about 465.6561900041.

The spelling of 100970880 in words is "one hundred million, nine hundred seventy thousand, eight hundred eighty".