100765720 has 128 divisors (see below), whose sum is σ = 262440000. Its totient is φ = 34478080.

The previous prime is 100765699. The next prime is 100765733. The reversal of 100765720 is 27567001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 676206 + ... + 676354.

Almost surely, 2^100765720 is an apocalyptic number.

100765720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100765720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131220000).

100765720 is an abundant number, since it is smaller than the sum of its proper divisors (161674280).

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

100765720 is a wasteful number, since it uses less digits than its factorization.

100765720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 100765720 is about 10038.2129883760. The cubic root of 100765720 is about 465.3405914163.

The spelling of 100765720 in words is "one hundred million, seven hundred sixty-five thousand, seven hundred twenty".