10375168 has 52 divisors (see below), whose sum is σ = 22115700. Its totient is φ = 4849664.

The previous prime is 10375163. The next prime is 10375171. The reversal of 10375168 is 86157301.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 5914624 = 2112^2 + 2432^2 .

It is a super-2 number, since 2×10375168² = 215288222056448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10375163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69558 + ... + 69706.

Almost surely, 2^10375168 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 10375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11057850).

10375168 is an abundant number, since it is smaller than the sum of its proper divisors (11740532).

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

10375168 is an equidigital number, since it uses as much as digits as its factorization.

10375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 10375168 is about 3221.0507602334. The cubic root of 10375168 is about 218.1047107999.

The spelling of 10375168 in words is "ten million, three hundred seventy-five thousand, one hundred sixty-eight".