100388980 has 24 divisors (see below), whose sum is σ = 211098888. Its totient is φ = 40101888.

The previous prime is 100388971. The next prime is 100388983. The reversal of 100388980 is 89883001.

It can be written as a sum of positive squares in 4 ways, for example, as 56881764 + 43507216 = 7542^2 + 6596^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100388983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14212 + ... + 20068.

It is an arithmetic number, because the mean of its divisors is an integer number (8795787).

Almost surely, 2^100388980 is an apocalyptic number.

100388980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100388980 is an abundant number, since it is smaller than the sum of its proper divisors (110709908).

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

100388980 is a wasteful number, since it uses less digits than its factorization.

100388980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6723 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 100388980 is about 10019.4301235150. The cubic root of 100388980 is about 464.7599331207.

The spelling of 100388980 in words is "one hundred million, three hundred eighty-eight thousand, nine hundred eighty".