97104 has 60 divisors (see below), whose sum is σ = 304544. Its totient is φ = 26112.

The previous prime is 97103. The next prime is 97117. The reversal of 97104 is 40179.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5704 + ... + 5720.

2⁹⁷¹⁰⁴ 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 97104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152272).

97104 is an abundant number, since it is smaller than the sum of its proper divisors (207440).

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

97104 is a wasteful number, since it uses less digits than its factorization.

97104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 97104 is about 311.6151472570. The cubic root of 97104 is about 45.9634239811.

Multiplying 97104 by its sum of digits (21), we get a square (2039184 = 1428²).

97104 divided by its sum of digits (21) gives a square (4624 = 68²).

It can be divided in two parts, 9 and 7104, that multiplied together give a palindrome (63936).

The spelling of 97104 in words is "ninety-seven thousand, one hundred four".