104832252 has 96 divisors (see below), whose sum is σ = 324172800. Its totient is φ = 28645056.

The previous prime is 104832241. The next prime is 104832257. The reversal of 104832252 is 252238401.

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

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 (104832257) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14374 + ... + 20402.

It is an arithmetic number, because the mean of its divisors is an integer number (3376800).

Almost surely, 2^104832252 is an apocalyptic number.

104832252 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 104832252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162086400).

104832252 is an abundant number, since it is smaller than the sum of its proper divisors (219340548).

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

104832252 is a wasteful number, since it uses less digits than its factorization.

104832252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6064 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 104832252 is about 10238.7622298792. The cubic root of 104832252 is about 471.5180311928.

The spelling of 104832252 in words is "one hundred four million, eight hundred thirty-two thousand, two hundred fifty-two".