10507965 has 16 divisors (see below), whose sum is σ = 18106368. Its totient is φ = 5173056.

The previous prime is 10507951. The next prime is 10507993. The reversal of 10507965 is 56970501.

10507965 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10507965 - 2⁵ = 10507933 is a prime.

It is a super-2 number, since 2×10507965² = 220834656882450, which contains 22 as substring.

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26749 + ... + 27138.

It is an arithmetic number, because the mean of its divisors is an integer number (1131648).

Almost surely, 2^10507965 is an apocalyptic number.

10507965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10507965 is a deficient number, since it is larger than the sum of its proper divisors (7598403).

10507965 is a wasteful number, since it uses less digits than its factorization.

10507965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53908.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 10507965 is about 3241.5991423987. The cubic root of 10507965 is about 219.0313126345.

The spelling of 10507965 in words is "ten million, five hundred seven thousand, nine hundred sixty-five".