10057365 has 40 divisors (see below), whose sum is σ = 18992160. Its totient is φ = 5077728.

The previous prime is 10057357. The next prime is 10057367. The reversal of 10057365 is 56375001.

It is not a de Polignac number, because 10057365 - 2³ = 10057357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10057367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7042 + ... + 8348.

It is an arithmetic number, because the mean of its divisors is an integer number (474804).

Almost surely, 2^10057365 is an apocalyptic number.

10057365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10057365 is a deficient number, since it is larger than the sum of its proper divisors (8934795).

10057365 is a wasteful number, since it uses less digits than its factorization.

10057365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10057365 is about 3171.3348924388. The cubic root of 10057365 is about 215.8546475806.

The spelling of 10057365 in words is "ten million, fifty-seven thousand, three hundred sixty-five".