105821058231 has 16 divisors (see below), whose sum is σ = 179167929600. Its totient is φ = 60469176024.

The previous prime is 105821058223. The next prime is 105821058269. The reversal of 105821058231 is 132850128501.

105821058231 is a `hidden beast` number, since 1 + 0 + 58 + 21 + 0 + 582 + 3 + 1 = 666.

It is not a de Polignac number, because 105821058231 - 2³ = 105821058223 is a prime.

It is a super-2 number, since 2×105821058231² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105821058221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279949701 + ... + 279950078.

It is an arithmetic number, because the mean of its divisors is an integer number (11197995600).

Almost surely, 2^105821058231 is an apocalyptic number.

105821058231 is a deficient number, since it is larger than the sum of its proper divisors (73346871369).

105821058231 is an equidigital number, since it uses as much as digits as its factorization.

105821058231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559899795 (or 559899789 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 105821058231 in words is "one hundred five billion, eight hundred twenty-one million, fifty-eight thousand, two hundred thirty-one".