10505235 has 32 divisors (see below), whose sum is σ = 19172160. Its totient is φ = 4866048.

The previous prime is 10505207. The next prime is 10505263. The reversal of 10505235 is 53250501.

10505235 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10505207) and next prime (10505263).

It is not a de Polignac number, because 10505235 - 2⁷ = 10505107 is a prime.

It is a super-2 number, since 2×10505235² = 220719924810450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1731 + ... + 4899.

It is an arithmetic number, because the mean of its divisors is an integer number (599130).

Almost surely, 2^10505235 is an apocalyptic number.

10505235 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10505235 is a deficient number, since it is larger than the sum of its proper divisors (8666925).

10505235 is a wasteful number, since it uses less digits than its factorization.

10505235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207.

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 10505235 is about 3241.1780265823. The cubic root of 10505235 is about 219.0123426667.

Adding to 10505235 its reverse (53250501), we get a palindrome (63755736).

The spelling of 10505235 in words is "ten million, five hundred five thousand, two hundred thirty-five".