105634315 has 16 divisors (see below), whose sum is σ = 128471616. Its totient is φ = 83376000.

The previous prime is 105634307. The next prime is 105634337. The reversal of 105634315 is 513436501.

It is not a de Polignac number, because 105634315 - 2³ = 105634307 is a prime.

It is a super-2 number, since 2×105634315² = 22317217011038450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136269 + ... + 137041.

It is an arithmetic number, because the mean of its divisors is an integer number (8029476).

Almost surely, 2^105634315 is an apocalyptic number.

105634315 is a deficient number, since it is larger than the sum of its proper divisors (22837301).

105634315 is a wasteful number, since it uses less digits than its factorization.

105634315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105634315 is about 10277.8555642702. The cubic root of 105634315 is about 472.7174926982.

It can be divided in two parts, 10563 and 4315, that added together give a triangular number (14878 = T₁₇₂).

The spelling of 105634315 in words is "one hundred five million, six hundred thirty-four thousand, three hundred fifteen".