112542100 has 108 divisors (see below), whose sum is σ = 274294944. Its totient is φ = 40040000.

The previous prime is 112542071. The next prime is 112542139. The reversal of 112542100 is 1245211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 859035 + ... + 859165.

It is an arithmetic number, because the mean of its divisors is an integer number (2539768).

Almost surely, 2^112542100 is an apocalyptic number.

112542100 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 112542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137147472).

112542100 is an abundant number, since it is smaller than the sum of its proper divisors (161752844).

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

112542100 is a wasteful number, since it uses less digits than its factorization.

112542100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 112542100 is about 10608.5861451939. The cubic root of 112542100 is about 482.8049027233.

Adding to 112542100 its reverse (1245211), we get a palindrome (113787311).

The spelling of 112542100 in words is "one hundred twelve million, five hundred forty-two thousand, one hundred".