10505892 has 12 divisors (see below), whose sum is σ = 24513776. Its totient is φ = 3501960.

The previous prime is 10505851. The next prime is 10505893. The reversal of 10505892 is 29850501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×10505892² = 220747533431328, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10505893) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 437734 + ... + 437757.

Almost surely, 2^10505892 is an apocalyptic number.

10505892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10505892 is an abundant number, since it is smaller than the sum of its proper divisors (14007884).

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

10505892 is a wasteful number, since it uses less digits than its factorization.

10505892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875498 (or 875496 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 10505892 is about 3241.2793770362. The cubic root of 10505892 is about 219.0169082669.

The spelling of 10505892 in words is "ten million, five hundred five thousand, eight hundred ninety-two".