104264160 has 576 divisors, whose sum is σ = 463325184. Its totient is φ = 19353600.

The previous prime is 104264137. The next prime is 104264183. The reversal of 104264160 is 61462401.

It is an interprime number because it is at equal distance from previous prime (104264137) and next prime (104264183).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104264160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363345 + ... + 3363375.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^104264160 is an apocalyptic number.

104264160 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 104264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

104264160 is an abundant number, since it is smaller than the sum of its proper divisors (359061024).

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

104264160 is a wasteful number, since it uses less digits than its factorization.

104264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 104264160 is about 10210.9823229697. The cubic root of 104264160 is about 470.6647602513.

The spelling of 104264160 in words is "one hundred four million, two hundred sixty-four thousand, one hundred sixty".