105499993 has 2 divisors, whose sum is σ = 105499994. Its totient is φ = 105499992.

The previous prime is 105499991. The next prime is 105500023. The reversal of 105499993 is 399994501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98247744 + 7252249 = 9912^2 + 2693^2 .

It is a cyclic number.

It is not a de Polignac number, because 105499993 - 2¹ = 105499991 is a prime.

It is a super-2 number, since 2×105499993² = 22260497046000098, which contains 22 as substring.

Together with 105499991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (105499991) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52749996 + 52749997.

It is an arithmetic number, because the mean of its divisors is an integer number (52749997).

Almost surely, 2^105499993 is an apocalyptic number.

It is an amenable number.

105499993 is a deficient number, since it is larger than the sum of its proper divisors (1).

105499993 is an equidigital number, since it uses as much as digits as its factorization.

105499993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 393660, while the sum is 49.

The square root of 105499993 is about 10271.3189513324. The cubic root of 105499993 is about 472.5170423945.

The spelling of 105499993 in words is "one hundred five million, four hundred ninety-nine thousand, nine hundred ninety-three".