106142857 has 2 divisors, whose sum is σ = 106142858. Its totient is φ = 106142856.

The previous prime is 106142851. The next prime is 106142887. The reversal of 106142857 is 758241601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78517321 + 27625536 = 8861^2 + 5256^2 .

It is a cyclic number.

It is not a de Polignac number, because 106142857 - 2²³ = 97754249 is a prime.

It is a super-2 number, since 2×106142857² = 22532612184244898, which contains 22 as substring.

106142857 is a modest number, since divided by 142857 gives 106 as remainder.

It is equal to p_6094492 and since 106142857 and 6094492 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106142851) 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 as a sum of consecutive naturals, namely, 53071428 + 53071429.

It is an arithmetic number, because the mean of its divisors is an integer number (53071429).

Almost surely, 2^106142857 is an apocalyptic number.

It is an amenable number.

106142857 is a deficient number, since it is larger than the sum of its proper divisors (1).

106142857 is an equidigital number, since it uses as much as digits as its factorization.

106142857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 106142857 is about 10302.5655542685. The cubic root of 106142857 is about 473.4748600906.

The spelling of 106142857 in words is "one hundred six million, one hundred forty-two thousand, eight hundred fifty-seven".