97100100 has 72 divisors (see below), whose sum is σ = 312167520. Its totient is φ = 25892640.

The previous prime is 97100093. The next prime is 97100111. The reversal of 97100100 is 100179.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15282 + ... + 20681.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2^97100100 is an apocalyptic number.

97100100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97100100 is an abundant number, since it is smaller than the sum of its proper divisors (215067420).

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

97100100 is a wasteful number, since it uses less digits than its factorization.

97100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 35973 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 97100100 is about 9853.9382989747. The cubic root of 97100100 is about 459.6280862793.

Adding to 97100100 its reverse (100179), we get a palindrome (97200279).

The spelling of 97100100 in words is "ninety-seven million, one hundred thousand, one hundred".