10505960 has 16 divisors (see below), whose sum is σ = 23638500. Its totient is φ = 4202368.

The previous prime is 10505959. The next prime is 10505981. The reversal of 10505960 is 6950501.

It can be written as a sum of positive squares in 2 ways, for example, as 10484644 + 21316 = 3238^2 + 146^2 .

It is a super-2 number, since 2×10505960² = 220750391043200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 131285 + ... + 131364.

Almost surely, 2^10505960 is an apocalyptic number.

10505960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505960 is an abundant number, since it is smaller than the sum of its proper divisors (13132540).

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

10505960 is a wasteful number, since it uses less digits than its factorization.

10505960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262660 (or 262656 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 10505960 is about 3241.2898667043. The cubic root of 10505960 is about 219.0173807991.

The spelling of 10505960 in words is "ten million, five hundred five thousand, nine hundred sixty".