9932975100 has 108 divisors (see below), whose sum is σ = 31200711360. Its totient is φ = 2643148800.

The previous prime is 9932975089. The next prime is 9932975123. The reversal of 9932975100 is 15792399.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419580 + ... + 442620.

Almost surely, 2^9932975100 is an apocalyptic number.

9932975100 is a gapful number since it is divisible by the number (90) 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 9932975100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15600355680).

9932975100 is an abundant number, since it is smaller than the sum of its proper divisors (21267736260).

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

9932975100 is a wasteful number, since it uses less digits than its factorization.

9932975100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23540 (or 23530 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 9932975100 is about 99664.3120680618. The cubic root of 9932975100 is about 2149.6105369904.

The spelling of 9932975100 in words is "nine billion, nine hundred thirty-two million, nine hundred seventy-five thousand, one hundred".