105035674741 has 16 divisors (see below), whose sum is σ = 110259135360. Its totient is φ = 99867398400.

The previous prime is 105035674673. The next prime is 105035674753. The reversal of 105035674741 is 147476530501.

It is not a de Polignac number, because 105035674741 - 2⁷ = 105035674613 is a prime.

It is a super-2 number, since 2×105035674741² (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 (105035674841) 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, 17292481 + ... + 17298553.

It is an arithmetic number, because the mean of its divisors is an integer number (6891195960).

Almost surely, 2^105035674741 is an apocalyptic number.

It is an amenable number.

105035674741 is a deficient number, since it is larger than the sum of its proper divisors (5223460619).

105035674741 is a wasteful number, since it uses less digits than its factorization.

105035674741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10476.

The product of its (nonzero) digits is 352800, while the sum is 43.

The spelling of 105035674741 in words is "one hundred five billion, thirty-five million, six hundred seventy-four thousand, seven hundred forty-one".