105299993 has 2 divisors, whose sum is σ = 105299994. Its totient is φ = 105299992.

The previous prime is 105299977. The next prime is 105300011. The reversal of 105299993 is 399992501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99361024 + 5938969 = 9968^2 + 2437^2 .

It is a cyclic number.

It is not a de Polignac number, because 105299993 - 2⁴ = 105299977 is a prime.

It is a super-2 number, since 2×105299993² = 22176177051600098, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105299093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52649996 + 52649997.

It is an arithmetic number, because the mean of its divisors is an integer number (52649997).

Almost surely, 2^105299993 is an apocalyptic number.

It is an amenable number.

105299993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105299993 is an equidigital number, since it uses as much as digits as its factorization.

105299993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 196830, while the sum is 47.

The square root of 105299993 is about 10261.5784848141. The cubic root of 105299993 is about 472.2182645256.

The spelling of 105299993 in words is "one hundred five million, two hundred ninety-nine thousand, nine hundred ninety-three".