104971360 has 96 divisors (see below), whose sum is σ = 270103680. Its totient is φ = 38320128.

The previous prime is 104971327. The next prime is 104971369. The reversal of 104971360 is 63179401.

It is a happy number.

It is a super-2 number, since 2×104971360² = 22037972840499200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104971369) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 226489 + ... + 226951.

It is an arithmetic number, because the mean of its divisors is an integer number (2813580).

Almost surely, 2^104971360 is an apocalyptic number.

104971360 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 104971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135051840).

104971360 is an abundant number, since it is smaller than the sum of its proper divisors (165132320).

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

104971360 is a wasteful number, since it uses less digits than its factorization.

104971360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 104971360 is about 10245.5531817467. The cubic root of 104971360 is about 471.7265005579.

The spelling of 104971360 in words is "one hundred four million, nine hundred seventy-one thousand, three hundred sixty".