105536145013 has 8 divisors (see below), whose sum is σ = 114225440000. Its totient is φ = 96928440048.

The previous prime is 105536144999. The next prime is 105536145023. The reversal of 105536145013 is 310541635501.

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-105536145013 is a prime.

It is a super-2 number, since 2×105536145013² (a number of 23 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 105536145013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536145023) 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, 20394813 + ... + 20399986.

It is an arithmetic number, because the mean of its divisors is an integer number (14278180000).

Almost surely, 2^105536145013 is an apocalyptic number.

105536145013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105536145013 is a deficient number, since it is larger than the sum of its proper divisors (8689294987).

105536145013 is a wasteful number, since it uses less digits than its factorization.

105536145013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40795011.

The product of its (nonzero) digits is 27000, while the sum is 34.

The spelling of 105536145013 in words is "one hundred five billion, five hundred thirty-six million, one hundred forty-five thousand, thirteen".