104097360 has 160 divisors (see below), whose sum is σ = 337478400. Its totient is φ = 26521600.

The previous prime is 104097347. The next prime is 104097373. The reversal of 104097360 is 63790401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104097347) and next prime (104097373).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 698566 + ... + 698714.

It is an arithmetic number, because the mean of its divisors is an integer number (2109240).

Almost surely, 2^104097360 is an apocalyptic number.

104097360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104097360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

104097360 is an abundant number, since it is smaller than the sum of its proper divisors (233381040).

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

104097360 is a wasteful number, since it uses less digits than its factorization.

104097360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 104097360 is about 10202.8113772626. The cubic root of 104097360 is about 470.4136391760.

The spelling of 104097360 in words is "one hundred four million, ninety-seven thousand, three hundred sixty".