10005375 has 16 divisors (see below), whose sum is σ = 16649568. Its totient is φ = 5336000.

The previous prime is 10005371. The next prime is 10005379. The reversal of 10005375 is 57350001.

It is a happy number.

10005375 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005371) and next prime (10005379).

It is not a de Polignac number, because 10005375 - 2² = 10005371 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005371) 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, 12966 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (1040598).

Almost surely, 2^10005375 is an apocalyptic number.

10005375 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10005375 is a deficient number, since it is larger than the sum of its proper divisors (6644193).

10005375 is an equidigital number, since it uses as much as digits as its factorization.

10005375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26699 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 10005375 is about 3163.1274081200. The cubic root of 10005375 is about 215.4820623776.

Adding to 10005375 its reverse (57350001), we get a palindrome (67355376).

It can be divided in two parts, 100053 and 75, that added together give a triangular number (100128 = T₄₄₇).

The spelling of 10005375 in words is "ten million, five thousand, three hundred seventy-five".