97200100 has 18 divisors (see below), whose sum is σ = 210924434. Its totient is φ = 38880000.

The previous prime is 97200079. The next prime is 97200109. The reversal of 97200100 is 100279.

It can be written as a sum of positive squares in 3 ways, for example, as 13147876 + 84052224 = 3626^2 + 9168^2 .

It is not an unprimeable number, because it can be changed into a prime (97200109) 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, 485901 + ... + 486100.

Almost surely, 2^97200100 is an apocalyptic number.

It is an amenable number.

97200100 is an abundant number, since it is smaller than the sum of its proper divisors (113724334).

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

97200100 is a wasteful number, since it uses less digits than its factorization.

97200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972015 (or 972008 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 97200100 is about 9859.0111065968. The cubic root of 97200100 is about 459.7858171129.

Adding to 97200100 its reverse (100279), we get a palindrome (97300379).

The spelling of 97200100 in words is "ninety-seven million, two hundred thousand, one hundred".