105516009601 has 2 divisors, whose sum is σ = 105516009602. Its totient is φ = 105516009600.

The previous prime is 105516009583. The next prime is 105516009619. The reversal of 105516009601 is 106900615501.

It is a balanced prime because it is at equal distance from previous prime (105516009583) and next prime (105516009619).

It can be written as a sum of positive squares in only one way, i.e., 55637487376 + 49878522225 = 235876^2 + 223335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105516009601 is a prime.

It is a super-2 number, since 2×105516009601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105516009691) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758004800 + 52758004801.

It is an arithmetic number, because the mean of its divisors is an integer number (52758004801).

Almost surely, 2^105516009601 is an apocalyptic number.

It is an amenable number.

105516009601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516009601 is an equidigital number, since it uses as much as digits as its factorization.

105516009601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8100, while the sum is 34.

The spelling of 105516009601 in words is "one hundred five billion, five hundred sixteen million, nine thousand, six hundred one".