97132104 has 144 divisors (see below), whose sum is σ = 287967420. Its totient is φ = 29548800.

The previous prime is 97132103. The next prime is 97132153. The reversal of 97132104 is 40123179.

It can be written as a sum of positive squares in 2 ways, for example, as 73102500 + 24029604 = 8550^2 + 4902^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (97132103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 961654 + ... + 961754.

Almost surely, 2^97132104 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 97132104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143983710).

97132104 is an abundant number, since it is smaller than the sum of its proper divisors (190835316).

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

97132104 is a wasteful number, since it uses less digits than its factorization.

97132104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 97132104 is about 9855.5620844272. The cubic root of 97132104 is about 459.6785782336.

The spelling of 97132104 in words is "ninety-seven million, one hundred thirty-two thousand, one hundred four".