105208245 has 24 divisors (see below), whose sum is σ = 182623896. Its totient is φ = 56030208.

The previous prime is 105208219. The next prime is 105208261. The reversal of 105208245 is 542802501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7257636 + 97950609 = 2694^2 + 9897^2 .

It is not a de Polignac number, because 105208245 - 2⁸ = 105207989 is a prime.

It is a super-2 number, since 2×105208245² = 22137549631960050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42769 + ... + 45161.

It is an arithmetic number, because the mean of its divisors is an integer number (7609329).

Almost surely, 2^105208245 is an apocalyptic number.

105208245 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105208245 is a deficient number, since it is larger than the sum of its proper divisors (77415651).

105208245 is a wasteful number, since it uses less digits than its factorization.

105208245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3378 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 105208245 is about 10257.1070482861. The cubic root of 105208245 is about 472.0810765757.

The spelling of 105208245 in words is "one hundred five million, two hundred eight thousand, two hundred forty-five".