105066557 has 2 divisors, whose sum is σ = 105066558. Its totient is φ = 105066556.

The previous prime is 105066539. The next prime is 105066571. The reversal of 105066557 is 755660501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95043001 + 10023556 = 9749^2 + 3166^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105066557 is a prime.

It is a super-2 number, since 2×105066557² = 22077962799668498, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105056557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52533278 + 52533279.

It is an arithmetic number, because the mean of its divisors is an integer number (52533279).

Almost surely, 2^105066557 is an apocalyptic number.

It is an amenable number.

105066557 is a deficient number, since it is larger than the sum of its proper divisors (1).

105066557 is an equidigital number, since it uses as much as digits as its factorization.

105066557 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 31500, while the sum is 35.

The square root of 105066557 is about 10250.1979005286. The cubic root of 105066557 is about 471.8690581068.

The spelling of 105066557 in words is "one hundred five million, sixty-six thousand, five hundred fifty-seven".