112145564303100 has 108 divisors (see below), whose sum is σ = 351522452772400. Its totient is φ = 29904768172800.

The previous prime is 112145564303027. The next prime is 112145564303107. The reversal of 112145564303100 is 1303465541211.

112145564303100 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 4 + 5 + 5 + 643 + 0 + 3 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×112145564303100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112145564303107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36682176 + ... + 39621624.

Almost surely, 2^{112145564303100} is an apocalyptic number.

112145564303100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112145564303100 is an abundant number, since it is smaller than the sum of its proper divisors (239376888469300).

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

112145564303100 is a wasteful number, since it uses less digits than its factorization.

112145564303100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981860 (or 2981850 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 112145564303100 in words is "one hundred twelve trillion, one hundred forty-five billion, five hundred sixty-four million, three hundred three thousand, one hundred".