105315814 has 16 divisors (see below), whose sum is σ = 161740800. Its totient is φ = 51407944.

The previous prime is 105315809. The next prime is 105315817. The reversal of 105315814 is 418513501.

It is a super-2 number, since 2×105315814² = 22182841356965192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105315817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43857 + ... + 46195.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2^105315814 is an apocalyptic number.

105315814 is a deficient number, since it is larger than the sum of its proper divisors (56424986).

105315814 is a wasteful number, since it uses less digits than its factorization.

105315814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2867.

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 105315814 is about 10262.3493411597. The cubic root of 105315814 is about 472.2419131218.

The spelling of 105315814 in words is "one hundred five million, three hundred fifteen thousand, eight hundred fourteen".