100756530990 has 96 divisors (see below), whose sum is σ = 272867736960. Its totient is φ = 26749898784.

The previous prime is 100756530983. The next prime is 100756530991. The reversal of 100756530990 is 99035657001.

100756530990 is a `hidden beast` number, since 100 + 7 + 5 + 6 + 530 + 9 + 9 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100756530991) 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, 460281 + ... + 642939.

It is an arithmetic number, because the mean of its divisors is an integer number (2842372260).

Almost surely, 2^100756530990 is an apocalyptic number.

100756530990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100756530990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136433868480).

100756530990 is an abundant number, since it is smaller than the sum of its proper divisors (172111205970).

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

100756530990 is a wasteful number, since it uses less digits than its factorization.

100756530990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182908 (or 182896 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 100756530990 in words is "one hundred billion, seven hundred fifty-six million, five hundred thirty thousand, nine hundred ninety".