105806232015 has 32 divisors (see below), whose sum is σ = 184791234816. Its totient is φ = 51269084160.

The previous prime is 105806231981. The next prime is 105806232097. The reversal of 105806232015 is 510232608501.

It is not a de Polignac number, because 105806232015 - 2¹⁷ = 105806100943 is a prime.

It is a super-2 number, since 2×105806232015² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82719 + ... + 467391.

It is an arithmetic number, because the mean of its divisors is an integer number (5774726088).

Almost surely, 2^105806232015 is an apocalyptic number.

105806232015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105806232015 is a deficient number, since it is larger than the sum of its proper divisors (78985002801).

105806232015 is a wasteful number, since it uses less digits than its factorization.

105806232015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386359.

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 105806232015 in words is "one hundred five billion, eight hundred six million, two hundred thirty-two thousand, fifteen".