100880000 has 160 divisors (see below), whose sum is σ = 273240660. Its totient is φ = 36864000.

The previous prime is 100879993. The next prime is 100880027. The reversal of 100880000 is 88001.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 23580736 + 77299264 = 4856^2 + 8792^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1039952 + ... + 1040048.

Almost surely, 2^100880000 is an apocalyptic number.

100880000 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 100880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136620330).

100880000 is an abundant number, since it is smaller than the sum of its proper divisors (172360660).

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

100880000 is an frugal number, since it uses more digits than its factorization.

100880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

The square root of 100880000 is about 10043.9036235918. The cubic root of 100880000 is about 465.5164416681.

The spelling of 100880000 in words is "one hundred million, eight hundred eighty thousand".