112148100 has 81 divisors (see below), whose sum is σ = 352520623. Its totient is φ = 29821440.

The previous prime is 112148081. The next prime is 112148107. The reversal of 112148100 is 1841211.

The square root of 112148100 is 10590.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6140484 + 106007616 = 2478^2 + 10296^2 .

It is a super-2 number, since 2×112148100² = 25154392667220000, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112148107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 317524 + ... + 317876.

Almost surely, 2^112148100 is an apocalyptic number.

112148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112148100 is the 10590-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112148100

112148100 is an abundant number, since it is smaller than the sum of its proper divisors (240372523).

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

112148100 is a wasteful number, since it uses less digits than its factorization.

112148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The cubic root of 112148100 is about 482.2408247720.

Multiplying 112148100 by its product of nonzero digits (64), we get a square (7177478400 = 84720²).

Adding to 112148100 its reverse (1841211), we get a palindrome (113989311).

The spelling of 112148100 in words is "one hundred twelve million, one hundred forty-eight thousand, one hundred".