104075712 has 224 divisors, whose sum is σ = 340522560. Its totient is φ = 30965760.

The previous prime is 104075633. The next prime is 104075743. The reversal of 104075712 is 217570401.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920968 + ... + 921080.

It is an arithmetic number, because the mean of its divisors is an integer number (1520190).

Almost surely, 2^104075712 is an apocalyptic number.

104075712 is a gapful number since it is divisible by the number (12) 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 104075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170261280).

104075712 is an abundant number, since it is smaller than the sum of its proper divisors (236446848).

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

104075712 is a wasteful number, since it uses less digits than its factorization.

104075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 104075712 is about 10201.7504380376. The cubic root of 104075712 is about 470.3810279729.

The spelling of 104075712 in words is "one hundred four million, seventy-five thousand, seven hundred twelve".