105820815 has 16 divisors (see below), whose sum is σ = 176675328. Its totient is φ = 53983776.

The previous prime is 105820789. The next prime is 105820867. The reversal of 105820815 is 518028501.

It is not a de Polignac number, because 105820815 - 2⁵ = 105820783 is a prime.

It is a super-2 number, since 2×105820815² = 22396089774528450, 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 15 ways as a sum of consecutive naturals, for example, 153019 + ... + 153708.

It is an arithmetic number, because the mean of its divisors is an integer number (11042208).

Almost surely, 2^105820815 is an apocalyptic number.

105820815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105820815 is a deficient number, since it is larger than the sum of its proper divisors (70854513).

105820815 is a wasteful number, since it uses less digits than its factorization.

105820815 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306758.

The product of its (nonzero) digits is 3200, while the sum is 30.

The square root of 105820815 is about 10286.9244674976. The cubic root of 105820815 is about 472.9955272847.

The spelling of 105820815 in words is "one hundred five million, eight hundred twenty thousand, eight hundred fifteen".