105066610601 has 2 divisors, whose sum is σ = 105066610602. Its totient is φ = 105066610600.

The previous prime is 105066610591. The next prime is 105066610639. The reversal of 105066610601 is 106016660501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95248773376 + 9817837225 = 308624^2 + 99085^2 .

It is a cyclic number.

It is not a de Polignac number, because 105066610601 - 2¹⁰ = 105066609577 is a prime.

It is a super-2 number, since 2×105066610601² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105066610651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52533305300 + 52533305301.

It is an arithmetic number, because the mean of its divisors is an integer number (52533305301).

Almost surely, 2^105066610601 is an apocalyptic number.

It is an amenable number.

105066610601 is a deficient number, since it is larger than the sum of its proper divisors (1).

105066610601 is an equidigital number, since it uses as much as digits as its factorization.

105066610601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 105066610601 in words is "one hundred five billion, sixty-six million, six hundred ten thousand, six hundred one".