105851522884005 has 24 divisors (see below), whose sum is σ = 183554348223480. Its totient is φ = 56430030084480.

The previous prime is 105851522883983. The next prime is 105851522884021. The reversal of 105851522884005 is 500488225158501.

105851522884005 is a `hidden beast` number, since 1 + 0 + 5 + 8 + 5 + 1 + 5 + 228 + 8 + 400 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44879896968516 + 60971625915489 = 6699246^2 + 7808433^2 .

It is not a de Polignac number, because 105851522884005 - 2⁶ = 105851522883941 is a prime.

It is a super-2 number, since 2×105851522884005² (a number of 29 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 23 ways as a sum of consecutive naturals, for example, 502298770 + ... + 502509459.

It is an arithmetic number, because the mean of its divisors is an integer number (7648097842645).

Almost surely, 2^{105851522884005} is an apocalyptic number.

105851522884005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105851522884005 is a deficient number, since it is larger than the sum of its proper divisors (77702825339475).

105851522884005 is a wasteful number, since it uses less digits than its factorization.

105851522884005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1004810581 (or 1004810578 counting only the distinct ones).

The product of its (nonzero) digits is 5120000, while the sum is 54.

The spelling of 105851522884005 in words is "one hundred five trillion, eight hundred fifty-one billion, five hundred twenty-two million, eight hundred eighty-four thousand, five".