105957685 has 8 divisors (see below), whose sum is σ = 134628696. Its totient is φ = 79779840.

The previous prime is 105957679. The next prime is 105957689. The reversal of 105957685 is 586759501.

It can be written as a sum of positive squares in 4 ways, for example, as 12680721 + 93276964 = 3561^2 + 9658^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105957685 - 2⁷ = 105957557 is a prime.

It is a super-2 number, since 2×105957685² = 22454062021118450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105957689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 623196 + ... + 623365.

It is an arithmetic number, because the mean of its divisors is an integer number (16828587).

Almost surely, 2^105957685 is an apocalyptic number.

It is an amenable number.

105957685 is a deficient number, since it is larger than the sum of its proper divisors (28671011).

105957685 is a wasteful number, since it uses less digits than its factorization.

105957685 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246583.

The product of its (nonzero) digits is 378000, while the sum is 46.

The square root of 105957685 is about 10293.5749377949. The cubic root of 105957685 is about 473.1993655890.

The spelling of 105957685 in words is "one hundred five million, nine hundred fifty-seven thousand, six hundred eighty-five".