112106917152 has 72 divisors (see below), whose sum is σ = 319248034560. Its totient is φ = 37316929920.

The previous prime is 112106917151. The next prime is 112106917157. The reversal of 112106917152 is 251719601211.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112106917152² (a number of 23 digits) contains 22 as substring.

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 (112106917151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63624 + ... + 477767.

It is an arithmetic number, because the mean of its divisors is an integer number (4434000480).

Almost surely, 2^112106917152 is an apocalyptic number.

112106917152 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 112106917152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159624017280).

112106917152 is an abundant number, since it is smaller than the sum of its proper divisors (207141117408).

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

112106917152 is a wasteful number, since it uses less digits than its factorization.

112106917152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542126 (or 542115 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 36.

The spelling of 112106917152 in words is "one hundred twelve billion, one hundred six million, nine hundred seventeen thousand, one hundred fifty-two".