1065166101 has 24 divisors (see below), whose sum is σ = 1618717464. Its totient is φ = 674058240.

The previous prime is 1065166057. The next prime is 1065166103. The reversal of 1065166101 is 1016615601.

1065166101 is a `hidden beast` number, since 1 + 0 + 651 + 6 + 6 + 1 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2340900 + 1062825201 = 1530^2 + 32601^2 .

It is not a de Polignac number, because 1065166101 - 2¹⁰ = 1065165077 is a prime.

It is a super-2 number, since 2×1065166101² = 2269157645439084402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1065166103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25356 + ... + 52661.

It is an arithmetic number, because the mean of its divisors is an integer number (67446561).

Almost surely, 2^1065166101 is an apocalyptic number.

It is an amenable number.

1065166101 is a deficient number, since it is larger than the sum of its proper divisors (553551363).

1065166101 is a wasteful number, since it uses less digits than its factorization.

1065166101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78101 (or 78098 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1065166101 is about 32636.8825257560. The cubic root of 1065166101 is about 1021.2665609981.

The spelling of 1065166101 in words is "one billion, sixty-five million, one hundred sixty-six thousand, one hundred one".