105215354334131 has 32 divisors (see below), whose sum is σ = 116190460108800. Its totient is φ = 94863386321920.

The previous prime is 105215354334121. The next prime is 105215354334133. The reversal of 105215354334131 is 131433453512501.

It is a cyclic number.

It is not a de Polignac number, because 105215354334131 - 2¹⁸ = 105215354071987 is a prime.

It is a super-2 number, since 2×105215354334131² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105215354334133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34006790 + ... + 36971508.

It is an arithmetic number, because the mean of its divisors is an integer number (3630951878400).

Almost surely, 2^{105215354334131} is an apocalyptic number.

105215354334131 is a deficient number, since it is larger than the sum of its proper divisors (10975105774669).

105215354334131 is a wasteful number, since it uses less digits than its factorization.

105215354334131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965699.

The product of its (nonzero) digits is 324000, while the sum is 41.

The spelling of 105215354334131 in words is "one hundred five trillion, two hundred fifteen billion, three hundred fifty-four million, three hundred thirty-four thousand, one hundred thirty-one".