112101672 has 64 divisors (see below), whose sum is σ = 312379200. Its totient is φ = 33315840.

The previous prime is 112101637. The next prime is 112101679. The reversal of 112101672 is 276101211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (112101679) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522 + ... + 14982.

It is an arithmetic number, because the mean of its divisors is an integer number (4880925).

Almost surely, 2^112101672 is an apocalyptic number.

112101672 is a gapful number since it is divisible by the number (12) 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 112101672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156189600).

112101672 is an abundant number, since it is smaller than the sum of its proper divisors (200277528).

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

112101672 is a wasteful number, since it uses less digits than its factorization.

112101672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14502 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 21.

The square root of 112101672 is about 10587.8077050917. The cubic root of 112101672 is about 482.1742682354.

Adding to 112101672 its reverse (276101211), we get a palindrome (388202883).

The spelling of 112101672 in words is "one hundred twelve million, one hundred one thousand, six hundred seventy-two".