104329344 has 128 divisors (see below), whose sum is σ = 325584000. Its totient is φ = 28975104.

The previous prime is 104329343. The next prime is 104329363. The reversal of 104329344 is 443923401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×104329344² = 21769224038940672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104329343) 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, 98932 + ... + 99980.

It is an arithmetic number, because the mean of its divisors is an integer number (2543625).

Almost surely, 2^104329344 is an apocalyptic number.

104329344 is a gapful number since it is divisible by the number (14) 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 104329344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162792000).

104329344 is an abundant number, since it is smaller than the sum of its proper divisors (221254656).

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

104329344 is a wasteful number, since it uses less digits than its factorization.

104329344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 104329344 is about 10214.1736817033. The cubic root of 104329344 is about 470.7628234159.

The spelling of 104329344 in words is "one hundred four million, three hundred twenty-nine thousand, three hundred forty-four".