104842752 has 160 divisors (see below), whose sum is σ = 327360000. Its totient is φ = 29804544.

The previous prime is 104842733. The next prime is 104842753. The reversal of 104842752 is 257248401.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104842753) 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, 526749 + ... + 526947.

It is an arithmetic number, because the mean of its divisors is an integer number (2046000).

Almost surely, 2^104842752 is an apocalyptic number.

104842752 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 104842752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163680000).

104842752 is an abundant number, since it is smaller than the sum of its proper divisors (222517248).

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

104842752 is an frugal number, since it uses more digits than its factorization.

104842752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The square root of 104842752 is about 10239.2749743329. The cubic root of 104842752 is about 471.5337730850.

The spelling of 104842752 in words is "one hundred four million, eight hundred forty-two thousand, seven hundred fifty-two".