10200112 has 80 divisors (see below), whose sum is σ = 23436000. Its totient is φ = 4257792.

The previous prime is 10200107. The next prime is 10200139. The reversal of 10200112 is 21100201.

It is a junction number, because it is equal to n+sod(n) for n = 10200095 and 10200104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114564 + ... + 114652.

It is an arithmetic number, because the mean of its divisors is an integer number (292950).

Almost surely, 2^10200112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11718000).

10200112 is an abundant number, since it is smaller than the sum of its proper divisors (13235888).

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

10200112 is a wasteful number, since it uses less digits than its factorization.

10200112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 10200112 is about 3193.7614187663. The cubic root of 10200112 is about 216.8710822957.

Adding to 10200112 its reverse (21100201), we get a palindrome (31300313).

The spelling of 10200112 in words is "ten million, two hundred thousand, one hundred twelve".