105207857 has 8 divisors (see below), whose sum is σ = 106920000. Its totient is φ = 103509424.

The previous prime is 105207841. The next prime is 105207863. The reversal of 105207857 is 758702501.

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

It is a cyclic number.

It is not a de Polignac number, because 105207857 - 2⁴ = 105207841 is a prime.

It is a super-2 number, since 2×105207857² = 22137386349064898, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105207887) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12644 + ... + 19242.

It is an arithmetic number, because the mean of its divisors is an integer number (13365000).

Almost surely, 2^105207857 is an apocalyptic number.

It is an amenable number.

105207857 is a deficient number, since it is larger than the sum of its proper divisors (1712143).

105207857 is a wasteful number, since it uses less digits than its factorization.

105207857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6855.

The product of its (nonzero) digits is 19600, while the sum is 35.

The square root of 105207857 is about 10257.0881345536. The cubic root of 105207857 is about 472.0804962420.

The spelling of 105207857 in words is "one hundred five million, two hundred seven thousand, eight hundred fifty-seven".