105251085850031 has 6 divisors (see below), whose sum is σ = 115689210066696. Its totient is φ = 95682805318100.

The previous prime is 105251085850013. The next prime is 105251085850049. The reversal of 105251085850031 is 130058580152501.

It is an interprime number because it is at equal distance from previous prime (105251085850013) and next prime (105251085850049).

It is not a de Polignac number, because 105251085850031 - 2³⁰ = 105250012108207 is a prime.

It is a super-2 number, since 2×105251085850031² (a number of 29 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 (105251085850331) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 434921842235 + ... + 434921842476.

It is an arithmetic number, because the mean of its divisors is an integer number (19281535011116).

Almost surely, 2^{105251085850031} is an apocalyptic number.

105251085850031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105251085850031 is a deficient number, since it is larger than the sum of its proper divisors (10438124216665).

105251085850031 is an equidigital number, since it uses as much as digits as its factorization.

105251085850031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869843684733 (or 869843684722 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 44.

The spelling of 105251085850031 in words is "one hundred five trillion, two hundred fifty-one billion, eighty-five million, eight hundred fifty thousand, thirty-one".