105690660201 has 81 divisors (see below), whose sum is σ = 180491950821. Its totient is φ = 59423261184.

The previous prime is 105690660181. The next prime is 105690660209. The reversal of 105690660201 is 102066096501.

The square root of 105690660201 is 325101.

It is a perfect power (a square), and thus also a powerful number.

105690660201 is a `hidden beast` number, since 10 + 569 + 0 + 6 + 60 + 20 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30241557801 + 75449102400 = 173901^2 + 274680^2 .

It is not a de Polignac number, because 105690660201 - 2⁷ = 105690660073 is a prime.

It is a super-2 number, since 2×105690660201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105690660209) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 771464605 + ... + 771464741.

Almost surely, 2^105690660201 is an apocalyptic number.

105690660201 is the 325101-st square number.

105690660201 is the 162551-st centered octagonal number.

It is an amenable number.

105690660201 is a deficient number, since it is larger than the sum of its proper divisors (74801290620).

105690660201 is an equidigital number, since it uses as much as digits as its factorization.

105690660201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

Multiplying 105690660201 by its sum of digits (36), we get a square (3804863767236 = 1950606²).

The spelling of 105690660201 in words is "one hundred five billion, six hundred ninety million, six hundred sixty thousand, two hundred one".