104314752 has 192 divisors, whose sum is σ = 325877760. Its totient is φ = 31933440.

The previous prime is 104314733. The next prime is 104314753. The reversal of 104314752 is 257413401.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104314753) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 821313 + ... + 821439.

It is an arithmetic number, because the mean of its divisors is an integer number (1697280).

Almost surely, 2^104314752 is an apocalyptic number.

104314752 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 104314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162938880).

104314752 is an abundant number, since it is smaller than the sum of its proper divisors (221563008).

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

104314752 is a wasteful number, since it uses less digits than its factorization.

104314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 104314752 is about 10213.4593551842. The cubic root of 104314752 is about 470.7408746808.

The spelling of 104314752 in words is "one hundred four million, three hundred fourteen thousand, seven hundred fifty-two".