112904820 has 288 divisors, whose sum is σ = 434367360. Its totient is φ = 24192000.

The previous prime is 112904791. The next prime is 112904843. The reversal of 112904820 is 28409211.

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 95 ways as a sum of consecutive naturals, for example, 449695 + ... + 449945.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 2^112904820 is an apocalyptic number.

112904820 is a gapful number since it is divisible by the number (10) 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 112904820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217183680).

112904820 is an abundant number, since it is smaller than the sum of its proper divisors (321462540).

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

112904820 is a wasteful number, since it uses less digits than its factorization.

112904820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 112904820 is about 10625.6679790025. The cubic root of 112904820 is about 483.3230353203.

It can be divided in two parts, 11290 and 4820, that added together give a triangular number (16110 = T₁₇₉).

The spelling of 112904820 in words is "one hundred twelve million, nine hundred four thousand, eight hundred twenty".