106135993 has 2 divisors, whose sum is σ = 106135994. Its totient is φ = 106135992.

The previous prime is 106135987. The next prime is 106136021. The reversal of 106135993 is 399531601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90478144 + 15657849 = 9512^2 + 3957^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106135993 is a prime.

It is a super-2 number, since 2×106135993² = 22529698020192098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106135963) 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, 53067996 + 53067997.

It is an arithmetic number, because the mean of its divisors is an integer number (53067997).

Almost surely, 2^106135993 is an apocalyptic number.

It is an amenable number.

106135993 is a deficient number, since it is larger than the sum of its proper divisors (1).

106135993 is an equidigital number, since it uses as much as digits as its factorization.

106135993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21870, while the sum is 37.

The square root of 106135993 is about 10302.2324279740. The cubic root of 106135993 is about 473.4646537153.

The spelling of 106135993 in words is "one hundred six million, one hundred thirty-five thousand, nine hundred ninety-three".