112097952 has 96 divisors (see below), whose sum is σ = 341228160. Its totient is φ = 35735040.

The previous prime is 112097939. The next prime is 112097957. The reversal of 112097952 is 259790211.

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 not an unprimeable number, because it can be changed into a prime (112097957) 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, 17052 + ... + 22692.

It is an arithmetic number, because the mean of its divisors is an integer number (3554460).

Almost surely, 2^112097952 is an apocalyptic number.

112097952 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 112097952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170614080).

112097952 is an abundant number, since it is smaller than the sum of its proper divisors (229130208).

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

112097952 is a wasteful number, since it uses less digits than its factorization.

112097952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5683 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 112097952 is about 10587.6320298733. The cubic root of 112097952 is about 482.1689346601.

The spelling of 112097952 in words is "one hundred twelve million, ninety-seven thousand, nine hundred fifty-two".