100765320 has 128 divisors (see below), whose sum is σ = 312560640. Its totient is φ = 25977600.

The previous prime is 100765289. The next prime is 100765361. The reversal of 100765320 is 23567001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667245 + ... + 667395.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2^100765320 is an apocalyptic number.

100765320 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 100765320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156280320).

100765320 is an abundant number, since it is smaller than the sum of its proper divisors (211795320).

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

100765320 is a wasteful number, since it uses less digits than its factorization.

100765320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 100765320 is about 10038.1930644912. The cubic root of 100765320 is about 465.3399756762.

The spelling of 100765320 in words is "one hundred million, seven hundred sixty-five thousand, three hundred twenty".