100752830280 has 192 divisors, whose sum is σ = 335005632000. Its totient is φ = 26249233920.

The previous prime is 100752830267. The next prime is 100752830281. The reversal of 100752830280 is 82038257001.

100752830280 is a `hidden beast` number, since 100 + 7 + 528 + 3 + 0 + 28 + 0 = 666.

It is a super-2 number, since 2×100752830280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100752830281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10130110 + ... + 10140050.

It is an arithmetic number, because the mean of its divisors is an integer number (1744821000).

Almost surely, 2^100752830280 is an apocalyptic number.

100752830280 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 100752830280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167502816000).

100752830280 is an abundant number, since it is smaller than the sum of its proper divisors (234252801720).

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

100752830280 is a wasteful number, since it uses less digits than its factorization.

100752830280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10604 (or 10597 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 100752830280 in words is "one hundred billion, seven hundred fifty-two million, eight hundred thirty thousand, two hundred eighty".