100989792 has 72 divisors (see below), whose sum is σ = 304097976. Its totient is φ = 31681536.

The previous prime is 100989727. The next prime is 100989797. The reversal of 100989792 is 297989001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100989797) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5418 + ... + 15209.

It is an arithmetic number, because the mean of its divisors is an integer number (4223583).

Almost surely, 2^100989792 is an apocalyptic number.

100989792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100989792 is an abundant number, since it is smaller than the sum of its proper divisors (203108184).

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

100989792 is a wasteful number, since it uses less digits than its factorization.

100989792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20660 (or 20649 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The square root of 100989792 is about 10049.3677413059. The cubic root of 100989792 is about 465.6852608943.

The spelling of 100989792 in words is "one hundred million, nine hundred eighty-nine thousand, seven hundred ninety-two".