100077988320 has 120 divisors (see below), whose sum is σ = 353191946184. Its totient is φ = 26687460096.

The previous prime is 100077988319. The next prime is 100077988399. The reversal of 100077988320 is 23889770001.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3848074 + ... + 3873993.

Almost surely, 2^100077988320 is an apocalyptic number.

100077988320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100077988320 is an abundant number, since it is smaller than the sum of its proper divisors (253113957864).

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

100077988320 is an equidigital number, since it uses as much as digits as its factorization.

100077988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7722094 (or 7722077 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 100077988320 in words is "one hundred billion, seventy-seven million, nine hundred eighty-eight thousand, three hundred twenty".