10705225686138 has 24 divisors (see below), whose sum is σ = 23195139178068. Its totient is φ = 3568334173632.

The previous prime is 10705225686097. The next prime is 10705225686269. The reversal of 10705225686138 is 83168652250701.

10705225686138 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 522 + 5 + 6 + 86 + 1 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9096394736529 + 1608830949609 = 3016023^2 + 1268397^2 .

It is a super-2 number, since 2×10705225686138² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5308131 + ... + 7041782.

Almost surely, 2^{10705225686138} is an apocalyptic number.

10705225686138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

10705225686138 is an abundant number, since it is smaller than the sum of its proper divisors (12489913491930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10705225686138 is a wasteful number, since it uses less digits than its factorization.

10705225686138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12398078 (or 12398075 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 10705225686138 in words is "ten trillion, seven hundred five billion, two hundred twenty-five million, six hundred eighty-six thousand, one hundred thirty-eight".