106057 has 8 divisors (see below), whose sum is σ = 123200. Its totient is φ = 89424.

The previous prime is 106033. The next prime is 106087. The reversal of 106057 is 750601.

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 106057 - 2⁷ = 105929 is a prime.

It is a super-2 number, since 2×106057² = 22496174498, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106087) 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, 694 + ... + 832.

It is an arithmetic number, because the mean of its divisors is an integer number (15400).

2¹⁰⁶⁰⁵⁷ is an apocalyptic number.

It is an amenable number.

106057 is a deficient number, since it is larger than the sum of its proper divisors (17143).

106057 is a wasteful number, since it uses less digits than its factorization.

106057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 106057 is about 325.6639372114. The cubic root of 106057 is about 47.3347163959.

Adding to 106057 its reverse (750601), we get a palindrome (856658).

The spelling of 106057 in words is "one hundred six thousand, fifty-seven".