105055010606105 has 8 divisors (see below), whose sum is σ = 144075443116992. Its totient is φ = 72037721558448.

The previous prime is 105055010606057. The next prime is 105055010606111. The reversal of 105055010606105 is 501606010550501.

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

It is a cyclic number.

It is not a de Polignac number, because 105055010606105 - 2⁶ = 105055010606041 is a prime.

It is a super-2 number, since 2×105055010606105² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35), and also a Moran number because the ratio is a prime number: 3001571731603 = 105055010606105 / (1 + 0 + 5 + 0 + 5 + 5 + 0 + 1 + 0 + 6 + 0 + 6 + 1 + 0 + 5).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1500785865767 + ... + 1500785865836.

It is an arithmetic number, because the mean of its divisors is an integer number (18009430389624).

Almost surely, 2^{105055010606105} is an apocalyptic number.

It is an amenable number.

105055010606105 is a deficient number, since it is larger than the sum of its proper divisors (39020432510887).

105055010606105 is an equidigital number, since it uses as much as digits as its factorization.

105055010606105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001571731615.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105055010606105 in words is "one hundred five trillion, fifty-five billion, ten million, six hundred six thousand, one hundred five".