105314242601 has 2 divisors, whose sum is σ = 105314242602. Its totient is φ = 105314242600.

The previous prime is 105314242571. The next prime is 105314242609. The reversal of 105314242601 is 106242413501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100974595225 + 4339647376 = 317765^2 + 65876^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105314242601 is a prime.

It is a super-2 number, since 2×105314242601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105314242609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52657121300 + 52657121301.

It is an arithmetic number, because the mean of its divisors is an integer number (52657121301).

Almost surely, 2^105314242601 is an apocalyptic number.

It is an amenable number.

105314242601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105314242601 is an equidigital number, since it uses as much as digits as its factorization.

105314242601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 105314242601 in words is "one hundred five billion, three hundred fourteen million, two hundred forty-two thousand, six hundred one".