105305635546331 has 8 divisors (see below), whose sum is σ = 114884423217984. Its totient is φ = 95727772554120.

The previous prime is 105305635546313. The next prime is 105305635546339. The reversal of 105305635546331 is 133645536503501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105305635546331 is a prime.

It is a super-2 number, since 2×105305635546331² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105305635546331.

It is not an unprimeable number, because it can be changed into a prime (105305635546339) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230931725 + ... + 231387278.

It is an arithmetic number, because the mean of its divisors is an integer number (14360552902248).

Almost surely, 2^{105305635546331} is an apocalyptic number.

105305635546331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105305635546331 is a deficient number, since it is larger than the sum of its proper divisors (9578787671653).

105305635546331 is a wasteful number, since it uses less digits than its factorization.

105305635546331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462339721.

The product of its (nonzero) digits is 7290000, while the sum is 50.

The spelling of 105305635546331 in words is "one hundred five trillion, three hundred five billion, six hundred thirty-five million, five hundred forty-six thousand, three hundred thirty-one".