112541400 has 120 divisors (see below), whose sum is σ = 390929220. Its totient is φ = 30006720.

The previous prime is 112541381. The next prime is 112541447. The reversal of 112541400 is 4145211.

112541400 is a `hidden beast` number, since 11 + 254 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12727 + ... + 19673.

Almost surely, 2^112541400 is an apocalyptic number.

112541400 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 112541400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195464610).

112541400 is an abundant number, since it is smaller than the sum of its proper divisors (278387820).

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

112541400 is a wasteful number, since it uses less digits than its factorization.

112541400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6975 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 112541400 is about 10608.5531529988. The cubic root of 112541400 is about 482.8039017226.

Adding to 112541400 its reverse (4145211), we get a palindrome (116686611).

The spelling of 112541400 in words is "one hundred twelve million, five hundred forty-one thousand, four hundred".