112506516 has 48 divisors (see below), whose sum is σ = 292481280. Its totient is φ = 37399680.

The previous prime is 112506491. The next prime is 112506539. The reversal of 112506516 is 615605211.

It is a happy number.

112506516 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 0 + 651 + 6 = 666.

It is a super-2 number, since 2×112506516² = 25315432284916512, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112506516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45340 + ... + 47756.

It is an arithmetic number, because the mean of its divisors is an integer number (6093360).

Almost surely, 2^112506516 is an apocalyptic number.

It is an amenable number.

112506516 is an abundant number, since it is smaller than the sum of its proper divisors (179974764).

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

112506516 is a wasteful number, since it uses less digits than its factorization.

112506516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2861 (or 2853 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 112506516 is about 10606.9088805363. The cubic root of 112506516 is about 482.7540123137.

It can be divided in two parts, 11250 and 6516, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 112506516 in words is "one hundred twelve million, five hundred six thousand, five hundred sixteen".