104725152 has 216 divisors, whose sum is σ = 356844852. Its totient is φ = 29030400.

The previous prime is 104725139. The next prime is 104725163. The reversal of 104725152 is 251527401.

It can be written as a sum of positive squares in 2 ways, for example, as 69155856 + 35569296 = 8316^2 + 5964^2 .

It is a super-2 number, since 2×104725152² = 21934714922846208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578502 + ... + 578682.

Almost surely, 2^104725152 is an apocalyptic number.

104725152 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 104725152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178422426).

104725152 is an abundant number, since it is smaller than the sum of its proper divisors (252119700).

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

104725152 is a wasteful number, since it uses less digits than its factorization.

104725152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 234 counting only the distinct ones).

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

The square root of 104725152 is about 10233.5307689966. The cubic root of 104725152 is about 471.3574038182.

The spelling of 104725152 in words is "one hundred four million, seven hundred twenty-five thousand, one hundred fifty-two".