115338105 has 24 divisors (see below), whose sum is σ = 200178888. Its totient is φ = 61433856.

The previous prime is 115338103. The next prime is 115338121. The reversal of 115338105 is 501833511.

It can be written as a sum of positive squares in 4 ways, for example, as 13307904 + 102030201 = 3648^2 + 10101^2 .

It is not a de Polignac number, because 115338105 - 2¹ = 115338103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115338101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53529 + ... + 55641.

It is an arithmetic number, because the mean of its divisors is an integer number (8340787).

Almost surely, 2^115338105 is an apocalyptic number.

115338105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115338105 is a deficient number, since it is larger than the sum of its proper divisors (84840783).

115338105 is a wasteful number, since it uses less digits than its factorization.

115338105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3337 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115338105 is about 10739.5579517967. The cubic root of 115338105 is about 486.7705223924.

The spelling of 115338105 in words is "one hundred fifteen million, three hundred thirty-eight thousand, one hundred five".