105415260066 has 24 divisors (see below), whose sum is σ = 228446222940. Its totient is φ = 35131267296.

The previous prime is 105415260059. The next prime is 105415260073. The reversal of 105415260066 is 660062514501.

105415260066 is a `hidden beast` number, since 1 + 0 + 5 + 41 + 5 + 2 + 600 + 6 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (105415260059) and next prime (105415260073).

It can be written as a sum of positive squares in 2 ways, for example, as 103069892025 + 2345368041 = 321045^2 + 48429^2 .

It is a super-2 number, since 2×105415260066² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105415260066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 504801 + ... + 682388.

Almost surely, 2^105415260066 is an apocalyptic number.

105415260066 is an abundant number, since it is smaller than the sum of its proper divisors (123030962874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105415260066 is a wasteful number, since it uses less digits than its factorization.

105415260066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192130 (or 1192127 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 105415260066 its reverse (660062514501), we get a palindrome (765477774567).

The spelling of 105415260066 in words is "one hundred five billion, four hundred fifteen million, two hundred sixty thousand, sixty-six".