105238985159 has 36 divisors (see below), whose sum is σ = 134644564152. Its totient is φ = 81953958240.

The previous prime is 105238985153. The next prime is 105238985171. The reversal of 105238985159 is 951589832501.

It is not a de Polignac number, because 105238985159 - 2⁴ = 105238985143 is a prime.

It is a super-2 number, since 2×105238985159² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105238985153) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11776457 + ... + 11785389.

It is an arithmetic number, because the mean of its divisors is an integer number (3740126782).

Almost surely, 2^105238985159 is an apocalyptic number.

105238985159 is a deficient number, since it is larger than the sum of its proper divisors (29405578993).

105238985159 is a wasteful number, since it uses less digits than its factorization.

105238985159 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10956 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 56.

The spelling of 105238985159 in words is "one hundred five billion, two hundred thirty-eight million, nine hundred eighty-five thousand, one hundred fifty-nine".