105665460001 has 2 divisors, whose sum is σ = 105665460002. Its totient is φ = 105665460000.

The previous prime is 105665459987. The next prime is 105665460011. The reversal of 105665460001 is 100064566501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96100620001 + 9564840000 = 310001^2 + 97800^2 .

It is a cyclic number.

It is not a de Polignac number, because 105665460001 - 2¹⁵ = 105665427233 is a prime.

It is a super-2 number, since 2×105665460001² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105665460011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832730000 + 52832730001.

It is an arithmetic number, because the mean of its divisors is an integer number (52832730001).

Almost surely, 2^105665460001 is an apocalyptic number.

It is an amenable number.

105665460001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665460001 is an equidigital number, since it uses as much as digits as its factorization.

105665460001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21600, while the sum is 34.

The spelling of 105665460001 in words is "one hundred five billion, six hundred sixty-five million, four hundred sixty thousand, one".