105166107639 has 24 divisors (see below), whose sum is σ = 153757784544. Its totient is φ = 69261480000.

The previous prime is 105166107617. The next prime is 105166107677. The reversal of 105166107639 is 936701661501.

105166107639 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 6 + 1 + 0 + 7 + 639 = 666.

It is not a de Polignac number, because 105166107639 - 2¹⁶ = 105166042103 is a prime.

It is a super-2 number, since 2×105166107639² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105166107594 and 105166107603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105166107689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32209 + ... + 459749.

It is an arithmetic number, because the mean of its divisors is an integer number (6406574356).

Almost surely, 2^105166107639 is an apocalyptic number.

105166107639 is a deficient number, since it is larger than the sum of its proper divisors (48591676905).

105166107639 is a wasteful number, since it uses less digits than its factorization.

105166107639 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427879 (or 427876 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 105166107639 in words is "one hundred five billion, one hundred sixty-six million, one hundred seven thousand, six hundred thirty-nine".