100765128 has 64 divisors (see below), whose sum is σ = 261918720. Its totient is φ = 32270400.

The previous prime is 100765127. The next prime is 100765141. The reversal of 100765128 is 821567001.

It is a super-2 number, since 2×100765128² = 20307222041712768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100765095 and 100765104.

It is not an unprimeable number, because it can be changed into a prime (100765127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123843 + ... + 124653.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2^100765128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100765128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130959360).

100765128 is an abundant number, since it is smaller than the sum of its proper divisors (161153592).

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

100765128 is a wasteful number, since it uses less digits than its factorization.

100765128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 100765128 is about 10038.1835010125. The cubic root of 100765128 is about 465.3396801204.

The spelling of 100765128 in words is "one hundred million, seven hundred sixty-five thousand, one hundred twenty-eight".