105393393 has 40 divisors (see below), whose sum is σ = 180861120. Its totient is φ = 59914080.

The previous prime is 105393389. The next prime is 105393403. The reversal of 105393393 is 393393501.

105393393 is a `hidden beast` number, since 1 + 0 + 539 + 33 + 93 = 666.

It is not a de Polignac number, because 105393393 - 2² = 105393389 is a prime.

It is a super-2 number, since 2×105393393² = 22215534576104898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105393373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152178 + ... + 152868.

It is an arithmetic number, because the mean of its divisors is an integer number (4521528).

Almost surely, 2^105393393 is an apocalyptic number.

It is an amenable number.

105393393 is a deficient number, since it is larger than the sum of its proper divisors (75467727).

105393393 is an equidigital number, since it uses as much as digits as its factorization.

105393393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 32805, while the sum is 36.

The square root of 105393393 is about 10266.1284328611. The cubic root of 105393393 is about 472.3578408313.

The spelling of 105393393 in words is "one hundred five million, three hundred ninety-three thousand, three hundred ninety-three".