112102938528 has 144 divisors (see below), whose sum is σ = 343750055040. Its totient is φ = 31895076864.

The previous prime is 112102938463. The next prime is 112102938553. The reversal of 112102938528 is 825839201211.

It is a super-2 number, since 2×112102938528² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 112102938528.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1074400 + ... + 1174112.

It is an arithmetic number, because the mean of its divisors is an integer number (2387153160).

Almost surely, 2^112102938528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112102938528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171875027520).

112102938528 is an abundant number, since it is smaller than the sum of its proper divisors (231647116512).

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

112102938528 is a wasteful number, since it uses less digits than its factorization.

112102938528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99979 (or 99964 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 112102938528 in words is "one hundred twelve billion, one hundred two million, nine hundred thirty-eight thousand, five hundred twenty-eight".