105681736 has 16 divisors (see below), whose sum is σ = 199152000. Its totient is φ = 52574544.

The previous prime is 105681703. The next prime is 105681769. The reversal of 105681736 is 637186501.

It is an interprime number because it is at equal distance from previous prime (105681703) and next prime (105681769).

It is a super-2 number, since 2×105681736² = 22337258647947392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105681695 and 105681704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31600 + ... + 34783.

It is an arithmetic number, because the mean of its divisors is an integer number (12447000).

Almost surely, 2^105681736 is an apocalyptic number.

It is an amenable number.

105681736 is a deficient number, since it is larger than the sum of its proper divisors (93470264).

105681736 is a wasteful number, since it uses less digits than its factorization.

105681736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66588 (or 66584 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 105681736 is about 10280.1622555288. The cubic root of 105681736 is about 472.7882190294.

The spelling of 105681736 in words is "one hundred five million, six hundred eighty-one thousand, seven hundred thirty-six".