105997707 has 8 divisors (see below), whose sum is σ = 157033680. Its totient is φ = 70665120.

The previous prime is 105997673. The next prime is 105997757. The reversal of 105997707 is 707799501.

It is not a de Polignac number, because 105997707 - 2⁷ = 105997579 is a prime.

It is a super-2 number, since 2×105997707² = 22471027778515698, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105997757) 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 7 ways as a sum of consecutive naturals, for example, 1962894 + ... + 1962947.

It is an arithmetic number, because the mean of its divisors is an integer number (19629210).

Almost surely, 2^105997707 is an apocalyptic number.

105997707 is a deficient number, since it is larger than the sum of its proper divisors (51035973).

105997707 is an equidigital number, since it uses as much as digits as its factorization.

105997707 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3925850 (or 3925844 counting only the distinct ones).

The product of its (nonzero) digits is 138915, while the sum is 45.

The square root of 105997707 is about 10295.5187824606. The cubic root of 105997707 is about 473.2589365428.

The spelling of 105997707 in words is "one hundred five million, nine hundred ninety-seven thousand, seven hundred seven".