105010056011 has 16 divisors (see below), whose sum is σ = 120951325440. Its totient is φ = 89304015840.

The previous prime is 105010056001. The next prime is 105010056013. The reversal of 105010056011 is 110650010501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105010056011 is a prime.

It is a super-2 number, since 2×105010056011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105010056013) 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, 7171880 + ... + 7186506.

It is an arithmetic number, because the mean of its divisors is an integer number (7559457840).

Almost surely, 2^105010056011 is an apocalyptic number.

105010056011 is a deficient number, since it is larger than the sum of its proper divisors (15941269429).

105010056011 is a wasteful number, since it uses less digits than its factorization.

105010056011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22594.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105010056011 its reverse (110650010501), we get a palindrome (215660066512).

The spelling of 105010056011 in words is "one hundred five billion, ten million, fifty-six thousand, eleven".