112103895600 has 360 divisors, whose sum is σ = 414093777552. Its totient is φ = 27987148800.

The previous prime is 112103895599. The next prime is 112103895671. The reversal of 112103895600 is 6598301211.

112103895600 is a `hidden beast` number, since 1 + 1 + 2 + 10 + 3 + 89 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11806855 + ... + 11816345.

Almost surely, 2^112103895600 is an apocalyptic number.

112103895600 is a gapful number since it is divisible by the number (10) 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 112103895600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207046888776).

112103895600 is an abundant number, since it is smaller than the sum of its proper divisors (301989881952).

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

112103895600 is a wasteful number, since it uses less digits than its factorization.

112103895600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9725 (or 9711 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 112103895600 in words is "one hundred twelve billion, one hundred three million, eight hundred ninety-five thousand, six hundred".