104257152 has 128 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 34283520.

The previous prime is 104257151. The next prime is 104257163. The reversal of 104257152 is 251752401.

104257152 is a `hidden beast` number, since 1 + 0 + 42 + 571 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×104257152² = 21739107486302208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (104257151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 335077 + ... + 335387.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 2^104257152 is an apocalyptic number.

104257152 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 104257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155937600).

104257152 is an abundant number, since it is smaller than the sum of its proper divisors (207618048).

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

104257152 is an equidigital number, since it uses as much as digits as its factorization.

104257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 104257152 is about 10210.6391572712. The cubic root of 104257152 is about 470.6542149449.

The spelling of 104257152 in words is "one hundred four million, two hundred fifty-seven thousand, one hundred fifty-two".