112368100 has 108 divisors (see below), whose sum is σ = 270829020. Its totient is φ = 40435200.

The previous prime is 112368059. The next prime is 112368103. The reversal of 112368100 is 1863211.

It can be written as a sum of positive squares in 18 ways, for example, as 112063396 + 304704 = 10586^2 + 552^2 .

It is a super-2 number, since 2×112368100² = 25253179795220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112368103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1030846 + ... + 1030954.

Almost surely, 2^112368100 is an apocalyptic number.

112368100 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 112368100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135414510).

112368100 is an abundant number, since it is smaller than the sum of its proper divisors (158460920).

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

112368100 is a wasteful number, since it uses less digits than its factorization.

112368100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 112368100 is about 10600.3820685860. The cubic root of 112368100 is about 482.5559547446. Note that the first 3 decimals are identical.

It can be divided in two parts, 11236 and 8100, that multiplied together give a square (91011600 = 9540²).

The spelling of 112368100 in words is "one hundred twelve million, three hundred sixty-eight thousand, one hundred".