105355141645 has 24 divisors (see below), whose sum is σ = 144104594400. Its totient is φ = 73705934016.

The previous prime is 105355141637. The next prime is 105355141663. The reversal of 105355141645 is 546141553501.

It is not a de Polignac number, because 105355141645 - 2³ = 105355141637 is a prime.

It is a super-3 number, since 3×105355141645³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105355141598 and 105355141607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3265015 + ... + 3297124.

It is an arithmetic number, because the mean of its divisors is an integer number (6004358100).

Almost surely, 2^105355141645 is an apocalyptic number.

It is an amenable number.

105355141645 is a deficient number, since it is larger than the sum of its proper divisors (38749452755).

105355141645 is a wasteful number, since it uses less digits than its factorization.

105355141645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6562189 (or 6562176 counting only the distinct ones).

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 105355141645 in words is "one hundred five billion, three hundred fifty-five million, one hundred forty-one thousand, six hundred forty-five".