106511593 has 2 divisors, whose sum is σ = 106511594. Its totient is φ = 106511592.

The previous prime is 106511533. The next prime is 106511611. The reversal of 106511593 is 395115601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99042304 + 7469289 = 9952^2 + 2733^2 .

It is an emirp because it is prime and its reverse (395115601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106511593 - 2²¹ = 104414441 is a prime.

It is a super-2 number, since 2×106511593² = 22689438886795298, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106511533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53255796 + 53255797.

It is an arithmetic number, because the mean of its divisors is an integer number (53255797).

Almost surely, 2^106511593 is an apocalyptic number.

It is an amenable number.

106511593 is a deficient number, since it is larger than the sum of its proper divisors (1).

106511593 is an equidigital number, since it uses as much as digits as its factorization.

106511593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 106511593 is about 10320.4453876759. The cubic root of 106511593 is about 474.0225039314.

The spelling of 106511593 in words is "one hundred six million, five hundred eleven thousand, five hundred ninety-three".