105005102431 has 8 divisors (see below), whose sum is σ = 105323708000. Its totient is φ = 104686598880.

The previous prime is 105005102399. The next prime is 105005102437. The reversal of 105005102431 is 134201500501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105005102431 - 2⁵ = 105005102399 is a prime.

It is a super-2 number, since 2×105005102431² (a number of 23 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 (105005102437) 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, 2376085 + ... + 2419873.

It is an arithmetic number, because the mean of its divisors is an integer number (13165463500).

Almost surely, 2^105005102431 is an apocalyptic number.

105005102431 is a deficient number, since it is larger than the sum of its proper divisors (318605569).

105005102431 is an equidigital number, since it uses as much as digits as its factorization.

105005102431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51009.

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 105005102431 its reverse (134201500501), we get a palindrome (239206602932).

The spelling of 105005102431 in words is "one hundred five billion, five million, one hundred two thousand, four hundred thirty-one".