10505957 has 16 divisors (see below), whose sum is σ = 13381632. Its totient is φ = 8009520.

The previous prime is 10505951. The next prime is 10505959. The reversal of 10505957 is 75950501.

It is a cyclic number.

It is not a de Polignac number, because 10505957 - 2⁶ = 10505893 is a prime.

It is a super-2 number, since 2×10505957² = 220750264971698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2168 + ... + 5070.

It is an arithmetic number, because the mean of its divisors is an integer number (836352).

Almost surely, 2^10505957 is an apocalyptic number.

It is an amenable number.

10505957 is a deficient number, since it is larger than the sum of its proper divisors (2875675).

10505957 is a wasteful number, since it uses less digits than its factorization.

10505957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2968.

The product of its (nonzero) digits is 7875, while the sum is 32.

The square root of 10505957 is about 3241.2894039255. The cubic root of 10505957 is about 219.0173599522.

It can be divided in two parts, 1050 and 5957, that added together give a palindrome (7007).

The spelling of 10505957 in words is "ten million, five hundred five thousand, nine hundred fifty-seven".