100392880 has 80 divisors (see below), whose sum is σ = 275410944. Its totient is φ = 33304320.

The previous prime is 100392811. The next prime is 100392883. The reversal of 100392880 is 88293001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (100392883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14469 + ... + 20251.

Almost surely, 2^100392880 is an apocalyptic number.

100392880 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 100392880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137705472).

100392880 is an abundant number, since it is smaller than the sum of its proper divisors (175018064).

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

100392880 is a wasteful number, since it uses less digits than its factorization.

100392880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5834 (or 5828 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 100392880 is about 10019.6247434722. The cubic root of 100392880 is about 464.7659515112.

The spelling of 100392880 in words is "one hundred million, three hundred ninety-two thousand, eight hundred eighty".