112630100 has 144 divisors (see below), whose sum is σ = 298105920. Its totient is φ = 36403200.

The previous prime is 112630097. The next prime is 112630121. The reversal of 112630100 is 1036211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 355142 + ... + 355458.

It is an arithmetic number, because the mean of its divisors is an integer number (2070180).

Almost surely, 2^112630100 is an apocalyptic number.

112630100 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 112630100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149052960).

112630100 is an abundant number, since it is smaller than the sum of its proper divisors (185475820).

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

112630100 is a wasteful number, since it uses less digits than its factorization.

112630100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 112630100 is about 10612.7329185276. The cubic root of 112630100 is about 482.9307097541.

Adding to 112630100 its reverse (1036211), we get a palindrome (113666311).

The spelling of 112630100 in words is "one hundred twelve million, six hundred thirty thousand, one hundred".