105104555565 has 16 divisors (see below), whose sum is σ = 168649152000. Its totient is φ = 55895141952.

The previous prime is 105104555539. The next prime is 105104555573. The reversal of 105104555565 is 565555401501.

It is not a de Polignac number, because 105104555565 - 2¹⁷ = 105104424493 is a prime.

It is a super-2 number, since 2×105104555565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10033405 + ... + 10043874.

It is an arithmetic number, because the mean of its divisors is an integer number (10540572000).

Almost surely, 2^105104555565 is an apocalyptic number.

105104555565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105104555565 is a deficient number, since it is larger than the sum of its proper divisors (63544596435).

105104555565 is a wasteful number, since it uses less digits than its factorization.

105104555565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20077636.

The product of its (nonzero) digits is 375000, while the sum is 42.

The spelling of 105104555565 in words is "one hundred five billion, one hundred four million, five hundred fifty-five thousand, five hundred sixty-five".