10127112 has 32 divisors (see below), whose sum is σ = 25440480. Its totient is φ = 3359360.

The previous prime is 10127077. The next prime is 10127129. The reversal of 10127112 is 21172101.

It is a junction number, because it is equal to n+sod(n) for n = 10127091 and 10127100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4687 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (795015).

Almost surely, 2^10127112 is an apocalyptic number.

10127112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10127112 is an abundant number, since it is smaller than the sum of its proper divisors (15313368).

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

10127112 is a wasteful number, since it uses less digits than its factorization.

10127112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2053 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

The square root of 10127112 is about 3182.3123668176. The cubic root of 10127112 is about 216.3524766292.

Adding to 10127112 its reverse (21172101), we get a palindrome (31299213).

The spelling of 10127112 in words is "ten million, one hundred twenty-seven thousand, one hundred twelve".