105240054165 has 64 divisors (see below), whose sum is σ = 175284345600. Its totient is φ = 53853456384.

The previous prime is 105240054137. The next prime is 105240054209. The reversal of 105240054165 is 561450042501.

It is not a de Polignac number, because 105240054165 - 2⁷ = 105240054037 is a prime.

It is a super-2 number, since 2×105240054165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52963302 + ... + 52965288.

It is an arithmetic number, because the mean of its divisors is an integer number (2738817900).

Almost surely, 2^105240054165 is an apocalyptic number.

105240054165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105240054165 is a deficient number, since it is larger than the sum of its proper divisors (70044291435).

105240054165 is a wasteful number, since it uses less digits than its factorization.

105240054165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2726.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 105240054165 its reverse (561450042501), we get a palindrome (666690096666).

The spelling of 105240054165 in words is "one hundred five billion, two hundred forty million, fifty-four thousand, one hundred sixty-five".