112777104 has 80 divisors (see below), whose sum is σ = 319979520. Its totient is φ = 33943680.

The previous prime is 112777097. The next prime is 112777123. The reversal of 112777104 is 401777211.

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, 87537 + ... + 88815.

It is an arithmetic number, because the mean of its divisors is an integer number (3999744).

Almost surely, 2^112777104 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 112777104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159989760).

112777104 is an abundant number, since it is smaller than the sum of its proper divisors (207202416).

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

112777104 is a wasteful number, since it uses less digits than its factorization.

112777104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 112777104 is about 10619.6564916197. The cubic root of 112777104 is about 483.1407243122.

It can be divided in two parts, 11277 and 7104, that added together give a palindrome (18381).

The spelling of 112777104 in words is "one hundred twelve million, seven hundred seventy-seven thousand, one hundred four".