105681607 has 2 divisors, whose sum is σ = 105681608. Its totient is φ = 105681606.

The previous prime is 105681601. The next prime is 105681617. The reversal of 105681607 is 706186501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105681607 - 2¹¹ = 105679559 is a prime.

It is a super-2 number, since 2×105681607² = 22337204116204898, which contains 22 as substring.

It is equal to p_6069535 and since 105681607 and 6069535 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105681601) 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 as a sum of consecutive naturals, namely, 52840803 + 52840804.

It is an arithmetic number, because the mean of its divisors is an integer number (52840804).

Almost surely, 2^105681607 is an apocalyptic number.

105681607 is a deficient number, since it is larger than the sum of its proper divisors (1).

105681607 is an equidigital number, since it uses as much as digits as its factorization.

105681607 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 105681607 is about 10280.1559813069. The cubic root of 105681607 is about 472.7880266603.

The spelling of 105681607 in words is "one hundred five million, six hundred eighty-one thousand, six hundred seven".