105315790 has 16 divisors (see below), whose sum is σ = 189695520. Its totient is φ = 42098080.

The previous prime is 105315787. The next prime is 105315809. The reversal of 105315790 is 97513501.

It is a super-2 number, since 2×105315790² = 22182831246648200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 18951 + ... + 23869.

It is an arithmetic number, because the mean of its divisors is an integer number (11855970).

Almost surely, 2^105315790 is an apocalyptic number.

105315790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105315790 is a deficient number, since it is larger than the sum of its proper divisors (84379730).

105315790 is a wasteful number, since it uses less digits than its factorization.

105315790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7067.

The product of its (nonzero) digits is 4725, while the sum is 31.

The square root of 105315790 is about 10262.3481718367. The cubic root of 105315790 is about 472.2418772493.

The spelling of 105315790 in words is "one hundred five million, three hundred fifteen thousand, seven hundred ninety".