105464342137 has 24 divisors (see below), whose sum is σ = 138451066560. Its totient is φ = 79346201760.

The previous prime is 105464342119. The next prime is 105464342171. The reversal of 105464342137 is 731243464501.

It is not a de Polignac number, because 105464342137 - 2¹¹ = 105464340089 is a prime.

It is a super-2 number, since 2×105464342137² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105464342137.

It is not an unprimeable number, because it can be changed into a prime (105464342177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3357933 + ... + 3389194.

It is an arithmetic number, because the mean of its divisors is an integer number (5768794440).

Almost surely, 2^105464342137 is an apocalyptic number.

It is an amenable number.

105464342137 is a deficient number, since it is larger than the sum of its proper divisors (32986724423).

105464342137 is a wasteful number, since it uses less digits than its factorization.

105464342137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6747181 (or 6747174 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The spelling of 105464342137 in words is "one hundred five billion, four hundred sixty-four million, three hundred forty-two thousand, one hundred thirty-seven".