105683157 has 16 divisors (see below), whose sum is σ = 156790080. Its totient is φ = 70355376.

The previous prime is 105683141. The next prime is 105683159. The reversal of 105683157 is 751386501.

105683157 is a `hidden beast` number, since 10 + 568 + 31 + 57 = 666.

It is not a de Polignac number, because 105683157 - 2⁴ = 105683141 is a prime.

It is a super-2 number, since 2×105683157² = 22337859346973298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105683159) 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 15 ways as a sum of consecutive naturals, for example, 19963 + ... + 24695.

It is an arithmetic number, because the mean of its divisors is an integer number (9799380).

Almost surely, 2^105683157 is an apocalyptic number.

It is an amenable number.

105683157 is a deficient number, since it is larger than the sum of its proper divisors (51106923).

105683157 is an equidigital number, since it uses as much as digits as its factorization.

105683157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569 (or 5563 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 105683157 is about 10280.2313689917. The cubic root of 105683157 is about 472.7903380617.

The spelling of 105683157 in words is "one hundred five million, six hundred eighty-three thousand, one hundred fifty-seven".