105345041814042 has 16 divisors (see below), whose sum is σ = 213834711742752. Its totient is φ = 34590909252240.

The previous prime is 105345041813989. The next prime is 105345041814053. The reversal of 105345041814042 is 240418140543501.

It is a super-2 number, since 2×105345041814042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105345041813985 and 105345041814003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131026171009 + ... + 131026171812.

It is an arithmetic number, because the mean of its divisors is an integer number (13364669483922).

Almost surely, 2^{105345041814042} is an apocalyptic number.

105345041814042 is an abundant number, since it is smaller than the sum of its proper divisors (108489669928710).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105345041814042 is a wasteful number, since it uses less digits than its factorization.

105345041814042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262052342893.

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 105345041814042 in words is "one hundred five trillion, three hundred forty-five billion, forty-one million, eight hundred fourteen thousand, forty-two".