105611051101007 has 2 divisors, whose sum is σ = 105611051101008. Its totient is φ = 105611051101006.

The previous prime is 105611051101001. The next prime is 105611051101021. The reversal of 105611051101007 is 700101150116501.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105611051101007 is a prime.

It is a super-2 number, since 2×105611051101007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105611051101001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805525550503 + 52805525550504.

It is an arithmetic number, because the mean of its divisors is an integer number (52805525550504).

Almost surely, 2^{105611051101007} is an apocalyptic number.

105611051101007 is a deficient number, since it is larger than the sum of its proper divisors (1).

105611051101007 is an equidigital number, since it uses as much as digits as its factorization.

105611051101007 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 29.

The spelling of 105611051101007 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred one thousand, seven".