105117540430 has 32 divisors (see below), whose sum is σ = 216369768384. Its totient is φ = 36018971136.

The previous prime is 105117540421. The next prime is 105117540433. The reversal of 105117540430 is 34045711501.

It is a super-2 number, since 2×105117540430² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105117540392 and 105117540401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105117540433) 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 15 ways as a sum of consecutive naturals, for example, 324987 + ... + 562006.

It is an arithmetic number, because the mean of its divisors is an integer number (6761555262).

Almost surely, 2^105117540430 is an apocalyptic number.

105117540430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105117540430 is an abundant number, since it is smaller than the sum of its proper divisors (111252227954).

105117540430 is a wasteful number, since it uses less digits than its factorization.

105117540430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888700.

The product of its (nonzero) digits is 8400, while the sum is 31.

The spelling of 105117540430 in words is "one hundred five billion, one hundred seventeen million, five hundred forty thousand, four hundred thirty".