105085527 has 4 divisors (see below), whose sum is σ = 140114040. Its totient is φ = 70057016.

The previous prime is 105085511. The next prime is 105085543. The reversal of 105085527 is 725580501.

It is a happy number.

It is a semiprime because it is the product of two primes.

It is an interprime number because it is at equal distance from previous prime (105085511) and next prime (105085543).

It is a cyclic number.

It is not a de Polignac number, because 105085527 - 2⁴ = 105085511 is a prime.

It is a super-2 number, since 2×105085527² = 22085935969735458, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105085577) 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, 17514252 + ... + 17514257.

It is an arithmetic number, because the mean of its divisors is an integer number (35028510).

Almost surely, 2^105085527 is an apocalyptic number.

105085527 is a deficient number, since it is larger than the sum of its proper divisors (35028513).

105085527 is an equidigital number, since it uses as much as digits as its factorization.

105085527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35028512.

The product of its (nonzero) digits is 14000, while the sum is 33.

The square root of 105085527 is about 10251.1232067515. The cubic root of 105085527 is about 471.8974553997.

The spelling of 105085527 in words is "one hundred five million, eighty-five thousand, five hundred twenty-seven".