105702993 has 12 divisors (see below), whose sum is σ = 166562448. Its totient is φ = 64062360.

The previous prime is 105702977. The next prime is 105703001. The reversal of 105702993 is 399207501.

It is not a de Polignac number, because 105702993 - 2⁴ = 105702977 is a prime.

It is a super-2 number, since 2×105702993² = 22346245458316098, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (105702913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 533755 + ... + 533952.

It is an arithmetic number, because the mean of its divisors is an integer number (13880204).

Almost surely, 2^105702993 is an apocalyptic number.

It is an amenable number.

105702993 is a deficient number, since it is larger than the sum of its proper divisors (60859455).

105702993 is a wasteful number, since it uses less digits than its factorization.

105702993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067724 (or 1067721 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 105702993 is about 10281.1960880045. The cubic root of 105702993 is about 472.8199160403.

The spelling of 105702993 in words is "one hundred five million, seven hundred two thousand, nine hundred ninety-three".