105539401331 has 24 divisors (see below), whose sum is σ = 132261742080. Its totient is φ = 82446620256.

The previous prime is 105539401291. The next prime is 105539401379. The reversal of 105539401331 is 133104935501.

It is a de Polignac number, because none of the positive numbers 2^k-105539401331 is a prime.

It is a super-2 number, since 2×105539401331² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105539401291 and 105539401300.

It is not an unprimeable number, because it can be changed into a prime (105539401531) 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 23 ways as a sum of consecutive naturals, for example, 471185 + ... + 658098.

It is an arithmetic number, because the mean of its divisors is an integer number (5510905920).

Almost surely, 2^105539401331 is an apocalyptic number.

105539401331 is a deficient number, since it is larger than the sum of its proper divisors (26722340749).

105539401331 is a wasteful number, since it uses less digits than its factorization.

105539401331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129395 (or 1129382 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The spelling of 105539401331 in words is "one hundred five billion, five hundred thirty-nine million, four hundred one thousand, three hundred thirty-one".