105358225167231 has 8 divisors (see below), whose sum is σ = 140477723621424. Its totient is φ = 70238771745600.

The previous prime is 105358225167229. The next prime is 105358225167233. The reversal of 105358225167231 is 132761522853501.

It is an interprime number because it is at equal distance from previous prime (105358225167229) and next prime (105358225167233).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105358225167231 - 2¹ = 105358225167229 is a prime.

It is a super-2 number, since 2×105358225167231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105358225167233) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5357220 + ... + 15473081.

It is an arithmetic number, because the mean of its divisors is an integer number (17559715452678).

Almost surely, 2^{105358225167231} is an apocalyptic number.

105358225167231 is a deficient number, since it is larger than the sum of its proper divisors (35119498454193).

105358225167231 is a wasteful number, since it uses less digits than its factorization.

105358225167231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22516281.

The product of its (nonzero) digits is 3024000, while the sum is 51.

The spelling of 105358225167231 in words is "one hundred five trillion, three hundred fifty-eight billion, two hundred twenty-five million, one hundred sixty-seven thousand, two hundred thirty-one".