105202857 has 16 divisors (see below), whose sum is σ = 143437248. Its totient is φ = 68566080.

The previous prime is 105202837. The next prime is 105202883. The reversal of 105202857 is 758202501.

It is not a de Polignac number, because 105202857 - 2⁶ = 105202793 is a prime.

It is a super-2 number, since 2×105202857² = 22135282241924898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105202837) 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 15 ways as a sum of consecutive naturals, for example, 29998 + ... + 33320.

It is an arithmetic number, because the mean of its divisors is an integer number (8964828).

Almost surely, 2^105202857 is an apocalyptic number.

It is an amenable number.

105202857 is a deficient number, since it is larger than the sum of its proper divisors (38234391).

105202857 is a wasteful number, since it uses less digits than its factorization.

105202857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560.

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 105202857 is about 10256.8443977668. The cubic root of 105202857 is about 472.0730175867.

The spelling of 105202857 in words is "one hundred five million, two hundred two thousand, eight hundred fifty-seven".