112600400 has 120 divisors (see below), whose sum is σ = 298817184. Its totient is φ = 40435200.

The previous prime is 112600307. The next prime is 112600489. The reversal of 112600400 is 4006211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 690719 + ... + 690881.

Almost surely, 2^112600400 is an apocalyptic number.

112600400 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 112600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149408592).

112600400 is an abundant number, since it is smaller than the sum of its proper divisors (186216784).

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

112600400 is a wasteful number, since it uses less digits than its factorization.

112600400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 112600400 is about 10611.3335636950. Note that the first 3 decimals coincide. The cubic root of 112600400 is about 482.8882572096. Note that the first 3 decimals are identical.

Adding to 112600400 its reverse (4006211), we get a palindrome (116606611).

The spelling of 112600400 in words is "one hundred twelve million, six hundred thousand, four hundred".