10505349 has 16 divisors (see below), whose sum is σ = 15613440. Its totient is φ = 6981120.

The previous prime is 10505317. The next prime is 10505351. The reversal of 10505349 is 94350501.

It is not a de Polignac number, because 10505349 - 2⁵ = 10505317 is a prime.

It is a super-2 number, since 2×10505349² = 220724715223602, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16069 + ... + 16709.

It is an arithmetic number, because the mean of its divisors is an integer number (975840).

Almost surely, 2^10505349 is an apocalyptic number.

It is an amenable number.

10505349 is a deficient number, since it is larger than the sum of its proper divisors (5108091).

10505349 is an equidigital number, since it uses as much as digits as its factorization.

10505349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 10505349 is about 3241.1956127331. The cubic root of 10505349 is about 219.0131348849.

The spelling of 10505349 in words is "ten million, five hundred five thousand, three hundred forty-nine".