105055060505051 has 16 divisors (see below), whose sum is σ = 107596405756800. Its totient is φ = 102544354598400.

The previous prime is 105055060504967. The next prime is 105055060505071. The reversal of 105055060505051 is 150505060550501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105055060505051 - 2⁴² = 100657013993947 is a prime.

It is a super-2 number, since 2×105055060505051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105055060504996 and 105055060505014.

It is not an unprimeable number, because it can be changed into a prime (105055060505071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45711911 + ... + 47955071.

It is an arithmetic number, because the mean of its divisors is an integer number (6724775359800).

Almost surely, 2^{105055060505051} is an apocalyptic number.

105055060505051 is a deficient number, since it is larger than the sum of its proper divisors (2541345251749).

105055060505051 is an equidigital number, since it uses as much as digits as its factorization.

105055060505051 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249990.

The product of its (nonzero) digits is 93750, while the sum is 38.

The spelling of 105055060505051 in words is "one hundred five trillion, fifty-five billion, sixty million, five hundred five thousand, fifty-one".