112148400 has 360 divisors, whose sum is σ = 450209280. Its totient is φ = 23362560.

The previous prime is 112148389. The next prime is 112148411. The reversal of 112148400 is 4841211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112148389) and next prime (112148411).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1419561 + ... + 1419639.

Almost surely, 2^112148400 is an apocalyptic number.

112148400 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 112148400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225104640).

112148400 is an abundant number, since it is smaller than the sum of its proper divisors (338060880).

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

112148400 is a wasteful number, since it uses less digits than its factorization.

112148400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 112148400 is about 10590.0141642965. The cubic root of 112148400 is about 482.2412547752.

Adding to 112148400 its reverse (4841211), we get a palindrome (116989611).

The spelling of 112148400 in words is "one hundred twelve million, one hundred forty-eight thousand, four hundred".