105255643005 has 48 divisors (see below), whose sum is σ = 188257580784. Its totient is φ = 54367272960.

The previous prime is 105255642997. The next prime is 105255643019. The reversal of 105255643005 is 500346552501.

105255643005 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 5 + 5 + 643 + 0 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 42341049 + 105213301956 = 6507^2 + 324366^2 .

It is not a de Polignac number, because 105255643005 - 2³ = 105255642997 is a prime.

It is a super-2 number, since 2×105255643005² (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 47 ways as a sum of consecutive naturals, for example, 44557 + ... + 460973.

It is an arithmetic number, because the mean of its divisors is an integer number (3922032933).

Almost surely, 2^105255643005 is an apocalyptic number.

105255643005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105255643005 is a deficient number, since it is larger than the sum of its proper divisors (83001937779).

105255643005 is a wasteful number, since it uses less digits than its factorization.

105255643005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416606 (or 416603 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 105255643005 in words is "one hundred five billion, two hundred fifty-five million, six hundred forty-three thousand, five".