100772720 has 20 divisors (see below), whose sum is σ = 234296760. Its totient is φ = 40309056.

The previous prime is 100772701. The next prime is 100772741. The reversal of 100772720 is 27277001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 100772720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629750 + ... + 629909.

It is an arithmetic number, because the mean of its divisors is an integer number (11714838).

Almost surely, 2^100772720 is an apocalyptic number.

100772720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100772720 is an abundant number, since it is smaller than the sum of its proper divisors (133524040).

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

100772720 is a wasteful number, since it uses less digits than its factorization.

100772720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259672 (or 1259666 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 26.

The square root of 100772720 is about 10038.5616499576. The cubic root of 100772720 is about 465.3513666043.

The spelling of 100772720 in words is "one hundred million, seven hundred seventy-two thousand, seven hundred twenty".