105715201 has 2 divisors, whose sum is σ = 105715202. Its totient is φ = 105715200.

The previous prime is 105715147. The next prime is 105715219. The reversal of 105715201 is 102517501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105596176 + 119025 = 10276^2 + 345^2 .

It is an emirp because it is prime and its reverse (102517501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105715201 - 2²⁵ = 72160769 is a prime.

It is a super-2 number, since 2×105715201² = 22351407444940802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105710201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52857600 + 52857601.

It is an arithmetic number, because the mean of its divisors is an integer number (52857601).

Almost surely, 2^105715201 is an apocalyptic number.

It is an amenable number.

105715201 is a deficient number, since it is larger than the sum of its proper divisors (1).

105715201 is an equidigital number, since it uses as much as digits as its factorization.

105715201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 350, while the sum is 22.

The square root of 105715201 is about 10281.7897761042. The cubic root of 105715201 is about 472.8381178691.

The spelling of 105715201 in words is "one hundred five million, seven hundred fifteen thousand, two hundred one".