112105104400 has 60 divisors (see below), whose sum is σ = 270334008900. Its totient is φ = 44675299840.

The previous prime is 112105104361. The next prime is 112105104403. The reversal of 112105104400 is 4401501211.

It can be written as a sum of positive squares in 6 ways, for example, as 46806457104 + 65298647296 = 216348^2 + 255536^2 .

It is not an unprimeable number, because it can be changed into a prime (112105104403) 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, 413335 + ... + 628534.

It is an arithmetic number, because the mean of its divisors is an integer number (4505566815).

Almost surely, 2^112105104400 is an apocalyptic number.

112105104400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112105104400 is an abundant number, since it is smaller than the sum of its proper divisors (158228904500).

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

112105104400 is a wasteful number, since it uses less digits than its factorization.

112105104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042156 (or 1042145 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

Adding to 112105104400 its reverse (4401501211), we get a palindrome (116506605611).

The spelling of 112105104400 in words is "one hundred twelve billion, one hundred five million, one hundred four thousand, four hundred".