106003577 has 2 divisors, whose sum is σ = 106003578. Its totient is φ = 106003576.

The previous prime is 106003571. The next prime is 106003607. The reversal of 106003577 is 775300601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92083216 + 13920361 = 9596^2 + 3731^2 .

It is an emirp because it is prime and its reverse (775300601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106003577 - 2⁴ = 106003561 is a prime.

It is a super-2 number, since 2×106003577² = 22473516673589858, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106003571) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53001788 + 53001789.

It is an arithmetic number, because the mean of its divisors is an integer number (53001789).

Almost surely, 2^106003577 is an apocalyptic number.

It is an amenable number.

106003577 is a deficient number, since it is larger than the sum of its proper divisors (1).

106003577 is an equidigital number, since it uses as much as digits as its factorization.

106003577 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 29.

The square root of 106003577 is about 10295.8038539980. The cubic root of 106003577 is about 473.2676725138.

The spelling of 106003577 in words is "one hundred six million, three thousand, five hundred seventy-seven".