10112175360 has 216 divisors, whose sum is σ = 39985545600. Its totient is φ = 2311335936.

The previous prime is 10112175341. The next prime is 10112175361. The reversal of 10112175360 is 6357121101.

10112175360 is a `hidden beast` number, since 1 + 0 + 1 + 121 + 7 + 536 + 0 = 666.

It is a super-2 number, since 2×10112175360² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112175361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17941 + ... + 143339.

Almost surely, 2^10112175360 is an apocalyptic number.

10112175360 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 10112175360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992772800).

10112175360 is an abundant number, since it is smaller than the sum of its proper divisors (29873370240).

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

10112175360 is a wasteful number, since it uses less digits than its factorization.

10112175360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125433 (or 125416 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 10112175360 its reverse (6357121101), we get a palindrome (16469296461).

The spelling of 10112175360 in words is "ten billion, one hundred twelve million, one hundred seventy-five thousand, three hundred sixty".