104924352 has 112 divisors (see below), whose sum is σ = 302231552. Its totient is φ = 31933440.

The previous prime is 104924329. The next prime is 104924353. The reversal of 104924352 is 253429401.

104924352 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×104924352² = 22018239285239808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104924353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316827 + ... + 317157.

It is an arithmetic number, because the mean of its divisors is an integer number (2698496).

Almost surely, 2^104924352 is an apocalyptic number.

104924352 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 104924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151115776).

104924352 is an abundant number, since it is smaller than the sum of its proper divisors (197307200).

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

104924352 is a wasteful number, since it uses less digits than its factorization.

104924352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 104924352 is about 10243.2588564382. The cubic root of 104924352 is about 471.6560742681.

The spelling of 104924352 in words is "one hundred four million, nine hundred twenty-four thousand, three hundred fifty-two".