105500105006013 has 40 divisors (see below), whose sum is σ = 158805710331840. Its totient is φ = 69794862096960.

The previous prime is 105500105006011. The next prime is 105500105006027. The reversal of 105500105006013 is 310600501005501.

105500105006013 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 0 + 0 + 1 + 0 + 50 + 0 + 601 + 3 = 666.

It is not a de Polignac number, because 105500105006013 - 2¹ = 105500105006011 is a prime.

It is a super-2 number, since 2×105500105006013² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500105006011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 590296081 + ... + 590474777.

It is an arithmetic number, because the mean of its divisors is an integer number (3970142758296).

Almost surely, 2^{105500105006013} is an apocalyptic number.

It is an amenable number.

105500105006013 is a deficient number, since it is larger than the sum of its proper divisors (53305605325827).

105500105006013 is a wasteful number, since it uses less digits than its factorization.

105500105006013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234479 (or 234470 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 105500105006013 in words is "one hundred five trillion, five hundred billion, one hundred five million, six thousand, thirteen".