9975830100 has 72 divisors (see below), whose sum is σ = 29054682048. Its totient is φ = 2642592000.

The previous prime is 9975830087. The next prime is 9975830113. The reversal of 9975830100 is 10385799.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9975830087) and next prime (9975830113).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64809 + ... + 155408.

Almost surely, 2^9975830100 is an apocalyptic number.

It is an amenable number.

9975830100 is an abundant number, since it is smaller than the sum of its proper divisors (19078851948).

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

9975830100 is a wasteful number, since it uses less digits than its factorization.

9975830100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220385 (or 220378 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 42.

The square root of 9975830100 is about 99879.0773886103. The cubic root of 9975830100 is about 2152.6975406879.

The spelling of 9975830100 in words is "nine billion, nine hundred seventy-five million, eight hundred thirty thousand, one hundred".