105413642037741 has 24 divisors (see below), whose sum is σ = 148437668823840. Its totient is φ = 66532443264864.

The previous prime is 105413642037731. The next prime is 105413642037749. The reversal of 105413642037741 is 147730246314501.

It is not a de Polignac number, because 105413642037741 - 2¹⁴ = 105413642021357 is a prime.

It is a super-2 number, since 2×105413642037741² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105413642037749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30980151 + ... + 34213988.

It is an arithmetic number, because the mean of its divisors is an integer number (6184902867660).

Almost surely, 2^{105413642037741} is an apocalyptic number.

It is an amenable number.

105413642037741 is a deficient number, since it is larger than the sum of its proper divisors (43024026786099).

105413642037741 is a wasteful number, since it uses less digits than its factorization.

105413642037741 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65195673 (or 65195654 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 105413642037741 in words is "one hundred five trillion, four hundred thirteen billion, six hundred forty-two million, thirty-seven thousand, seven hundred forty-one".