112329504 has 240 divisors, whose sum is σ = 389321856. Its totient is φ = 31104000.

The previous prime is 112329443. The next prime is 112329527. The reversal of 112329504 is 405923211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743829 + ... + 743979.

Almost surely, 2^112329504 is an apocalyptic number.

112329504 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 112329504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194660928).

112329504 is an abundant number, since it is smaller than the sum of its proper divisors (276992352).

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

112329504 is a wasteful number, since it uses less digits than its factorization.

112329504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 112329504 is about 10598.5614118143. The cubic root of 112329504 is about 482.5006992571.

It can be divided in two parts, 11232 and 9504, that added together give a 4-th power (20736 = 12⁴).

The spelling of 112329504 in words is "one hundred twelve million, three hundred twenty-nine thousand, five hundred four".