9972100 has 18 divisors (see below), whose sum is σ = 21639674. Its totient is φ = 3988800.

The previous prime is 9972059. The next prime is 9972101. The reversal of 9972100 is 12799.

It can be written as a sum of positive squares in 3 ways, for example, as 386884 + 9585216 = 622^2 + 3096^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (9972101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49761 + ... + 49960.

Almost surely, 2^9972100 is an apocalyptic number.

It is an amenable number.

9972100 is an abundant number, since it is smaller than the sum of its proper divisors (11667574).

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

9972100 is a wasteful number, since it uses less digits than its factorization.

9972100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99735 (or 99728 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 9972100 is about 3157.8632015969. The cubic root of 9972100 is about 215.2429199506.

Adding to 9972100 its reverse (12799), we get a palindrome (9984899).

The spelling of 9972100 in words is "nine million, nine hundred seventy-two thousand, one hundred".