105753681 has 20 divisors (see below), whose sum is σ = 172340784. Its totient is φ = 64092600.

The previous prime is 105753673. The next prime is 105753751. The reversal of 105753681 is 186357501.

105753681 is a `hidden beast` number, since 1 + 0 + 575 + 3 + 6 + 81 = 666.

It is not a de Polignac number, because 105753681 - 2³ = 105753673 is a prime.

It is a super-2 number, since 2×105753681² = 22367682090099522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105752681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 58455 + ... + 60236.

Almost surely, 2^105753681 is an apocalyptic number.

105753681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105753681 is a deficient number, since it is larger than the sum of its proper divisors (66587103).

105753681 is a wasteful number, since it uses less digits than its factorization.

105753681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118714 (or 118705 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 105753681 is about 10283.6608753887. The cubic root of 105753681 is about 472.8954814378.

The spelling of 105753681 in words is "one hundred five million, seven hundred fifty-three thousand, six hundred eighty-one".