112244100 has 72 divisors (see below), whose sum is σ = 327249888. Its totient is φ = 29702400.

The previous prime is 112244057. The next prime is 112244107. The reversal of 112244100 is 1442211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112244100.

It is not an unprimeable number, because it can be changed into a prime (112244107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39735 + ... + 42465.

Almost surely, 2^112244100 is an apocalyptic number.

112244100 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 112244100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163624944).

112244100 is an abundant number, since it is smaller than the sum of its proper divisors (215005788).

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

112244100 is a wasteful number, since it uses less digits than its factorization.

112244100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 112244100 is about 10594.5316083346. The cubic root of 112244100 is about 482.3783866678.

Adding to 112244100 its reverse (1442211), we get a palindrome (113686311).

The spelling of 112244100 in words is "one hundred twelve million, two hundred forty-four thousand, one hundred".