105405540031 has 4 divisors (see below), whose sum is σ = 114987861864. Its totient is φ = 95823218200.

The previous prime is 105405540017. The next prime is 105405540067. The reversal of 105405540031 is 130045504501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105405540031 - 2⁵ = 105405539999 is a prime.

It is a super-2 number, since 2×105405540031² (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 (105405540001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4791160900 + ... + 4791160921.

It is an arithmetic number, because the mean of its divisors is an integer number (28746965466).

Almost surely, 2^105405540031 is an apocalyptic number.

105405540031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105405540031 is a deficient number, since it is larger than the sum of its proper divisors (9582321833).

105405540031 is an equidigital number, since it uses as much as digits as its factorization.

105405540031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9582321832.

The product of its (nonzero) digits is 6000, while the sum is 28.

The spelling of 105405540031 in words is "one hundred five billion, four hundred five million, five hundred forty thousand, thirty-one".