105000011055605 has 32 divisors (see below), whose sum is σ = 138395670819840. Its totient is φ = 76154231162880.

The previous prime is 105000011055547. The next prime is 105000011055607. The reversal of 105000011055605 is 506550110000501.

It is a happy number.

It is not a de Polignac number, because 105000011055605 - 2⁸ = 105000011055349 is a prime.

It is a super-2 number, since 2×105000011055605² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000011055607) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190415369 + ... + 190965998.

It is an arithmetic number, because the mean of its divisors is an integer number (4324864713120).

Almost surely, 2^{105000011055605} is an apocalyptic number.

It is an amenable number.

105000011055605 is a deficient number, since it is larger than the sum of its proper divisors (33395659764235).

105000011055605 is a wasteful number, since it uses less digits than its factorization.

105000011055605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381381509.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 105000011055605 in words is "one hundred five trillion, eleven million, fifty-five thousand, six hundred five".