9975100 has 36 divisors (see below), whose sum is σ = 22592304. Its totient is φ = 3815680.

The previous prime is 9975079. The next prime is 9975109. The reversal of 9975100 is 15799.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9975109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132 + ... + 4468.

It is an arithmetic number, because the mean of its divisors is an integer number (627564).

Almost surely, 2^9975100 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 9975100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11296152).

9975100 is an abundant number, since it is smaller than the sum of its proper divisors (12617204).

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

9975100 is a wasteful number, since it uses less digits than its factorization.

9975100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4374 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 9975100 is about 3158.3381706207. The cubic root of 9975100 is about 215.2645022993.

The spelling of 9975100 in words is "nine million, nine hundred seventy-five thousand, one hundred".