235268166105 has 72 divisors (see below), whose sum is σ = 474475128192. Its totient is φ = 107529016896.

The previous prime is 235268166103. The next prime is 235268166139. The reversal of 235268166105 is 501661862532.

235268166105 is a `hidden beast` number, since 2 + 3 + 5 + 26 + 8 + 1 + 6 + 610 + 5 = 666.

It is not a de Polignac number, because 235268166105 - 2¹ = 235268166103 is a prime.

It is a super-2 number, since 2×235268166105² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (235268166101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15972274 + ... + 15986996.

It is an arithmetic number, because the mean of its divisors is an integer number (6589932336).

Almost surely, 2^235268166105 is an apocalyptic number.

It is an amenable number.

235268166105 is an abundant number, since it is smaller than the sum of its proper divisors (239206962087).

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

235268166105 is a wasteful number, since it uses less digits than its factorization.

235268166105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21995 (or 21985 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 235268166105 in words is "two hundred thirty-five billion, two hundred sixty-eight million, one hundred sixty-six thousand, one hundred five".