100977120 has 72 divisors (see below), whose sum is σ = 344589336. Its totient is φ = 26926848.

The previous prime is 100977119. The next prime is 100977131. The reversal of 100977120 is 21779001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33622 + ... + 36501.

It is an arithmetic number, because the mean of its divisors is an integer number (4785963).

Almost surely, 2^100977120 is an apocalyptic number.

100977120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100977120 is an abundant number, since it is smaller than the sum of its proper divisors (243612216).

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

100977120 is a wasteful number, since it uses less digits than its factorization.

100977120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70144 (or 70133 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 100977120 is about 10048.7372341006. The cubic root of 100977120 is about 465.6657823235.

The spelling of 100977120 in words is "one hundred million, nine hundred seventy-seven thousand, one hundred twenty".