112692096 has 96 divisors (see below), whose sum is σ = 353803320. Its totient is φ = 34145280.

The previous prime is 112692089. The next prime is 112692109. The reversal of 112692096 is 690296211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112692096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8226 + ... + 17118.

Almost surely, 2^112692096 is an apocalyptic number.

112692096 is a gapful number since it is divisible by the number (16) 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 112692096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176901660).

112692096 is an abundant number, since it is smaller than the sum of its proper divisors (241111224).

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

112692096 is a wasteful number, since it uses less digits than its factorization.

112692096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8924 (or 8909 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 112692096 is about 10615.6533477690. The cubic root of 112692096 is about 483.0193014675.

The spelling of 112692096 in words is "one hundred twelve million, six hundred ninety-two thousand, ninety-six".