112760400 has 60 divisors (see below), whose sum is σ = 361212992. Its totient is φ = 30069120.

The previous prime is 112760393. The next prime is 112760407. The reversal of 112760400 is 4067211.

It is an interprime number because it is at equal distance from previous prime (112760393) and next prime (112760407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112760407) 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, 45784 + ... + 48183.

Almost surely, 2^112760400 is an apocalyptic number.

112760400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112760400 is an abundant number, since it is smaller than the sum of its proper divisors (248452592).

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

112760400 is a wasteful number, since it uses less digits than its factorization.

112760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93988 (or 93977 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 112760400 is about 10618.8699963791. The cubic root of 112760400 is about 483.1168696441.

The spelling of 112760400 in words is "one hundred twelve million, seven hundred sixty thousand, four hundred".