100370080 has 48 divisors (see below), whose sum is σ = 238044744. Its totient is φ = 39992320.

The previous prime is 100370077. The next prime is 100370099. The reversal of 100370080 is 80073001.

It can be written as a sum of positive squares in 4 ways, for example, as 99440784 + 929296 = 9972^2 + 964^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45810 + ... + 47950.

Almost surely, 2^100370080 is an apocalyptic number.

100370080 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 100370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119022372).

100370080 is an abundant number, since it is smaller than the sum of its proper divisors (137674664).

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

100370080 is a wasteful number, since it uses less digits than its factorization.

100370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2441 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 100370080 is about 10018.4869117048. The cubic root of 100370080 is about 464.7307648659.

The spelling of 100370080 in words is "one hundred million, three hundred seventy thousand, eighty".