105346131 has 16 divisors (see below), whose sum is σ = 154752768. Its totient is φ = 63212000.

The previous prime is 105346123. The next prime is 105346159. The reversal of 105346131 is 131643501.

It is a cyclic number.

It is not a de Polignac number, because 105346131 - 2³ = 105346123 is a prime.

It is a super-3 number, since 3×105346131³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (105346121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12471 + ... + 19136.

It is an arithmetic number, because the mean of its divisors is an integer number (9672048).

Almost surely, 2^105346131 is an apocalyptic number.

105346131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105346131 is a deficient number, since it is larger than the sum of its proper divisors (49406637).

105346131 is a wasteful number, since it uses less digits than its factorization.

105346131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31722.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105346131 is about 10263.8263332931. The cubic root of 105346131 is about 472.2872231404.

Adding to 105346131 its reverse (131643501), we get a palindrome (236989632).

The spelling of 105346131 in words is "one hundred five million, three hundred forty-six thousand, one hundred thirty-one".