10705275 has 54 divisors (see below), whose sum is σ = 22327812. Its totient is φ = 4888800.

The previous prime is 10705271. The next prime is 10705283. The reversal of 10705275 is 57250701.

It is not a de Polignac number, because 10705275 - 2² = 10705271 is a prime.

It is a super-2 number, since 2×10705275² = 229205825651250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10705271) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 10540 + ... + 11510.

It is an arithmetic number, because the mean of its divisors is an integer number (413478).

Almost surely, 2^10705275 is an apocalyptic number.

10705275 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10705275 is an abundant number, since it is smaller than the sum of its proper divisors (11622537).

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

10705275 is a wasteful number, since it uses less digits than its factorization.

10705275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10705275 is about 3271.8916546854. The cubic root of 10705275 is about 220.3937507766.

Adding to 10705275 its reverse (57250701), we get a palindrome (67955976).

The spelling of 10705275 in words is "ten million, seven hundred five thousand, two hundred seventy-five".