104791752 has 128 divisors (see below), whose sum is σ = 318729600. Its totient is φ = 31705344.

The previous prime is 104791751. The next prime is 104791769. The reversal of 104791752 is 257197401.

It is a happy number.

104791752 is a `hidden beast` number, since 10 + 479 + 175 + 2 = 666.

It is a super-2 number, since 2×104791752² = 21962622574459008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (104791751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187858 + ... + 188414.

It is an arithmetic number, because the mean of its divisors is an integer number (2490075).

Almost surely, 2^104791752 is an apocalyptic number.

104791752 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 104791752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159364800).

104791752 is an abundant number, since it is smaller than the sum of its proper divisors (213937848).

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

104791752 is a wasteful number, since it uses less digits than its factorization.

104791752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 104791752 is about 10236.7842606944. The cubic root of 104791752 is about 471.4573026173.

The spelling of 104791752 in words is "one hundred four million, seven hundred ninety-one thousand, seven hundred fifty-two".