105308058031 has 16 divisors (see below), whose sum is σ = 115430054400. Its totient is φ = 95278549600.

The previous prime is 105308058019. The next prime is 105308058043. The reversal of 105308058031 is 130850803501.

It is an interprime number because it is at equal distance from previous prime (105308058019) and next prime (105308058043).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105308058031 is a prime.

It is a super-2 number, since 2×105308058031² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105308058071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1983846 + ... + 2036236.

It is an arithmetic number, because the mean of its divisors is an integer number (7214378400).

Almost surely, 2^105308058031 is an apocalyptic number.

105308058031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105308058031 is a deficient number, since it is larger than the sum of its proper divisors (10121996369).

105308058031 is a wasteful number, since it uses less digits than its factorization.

105308058031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53270.

The product of its (nonzero) digits is 14400, while the sum is 34.

It can be divided in two parts, 1053080 and 58031, that added together give a palindrome (1111111).

The spelling of 105308058031 in words is "one hundred five billion, three hundred eight million, fifty-eight thousand, thirty-one".