105243905 has 24 divisors (see below), whose sum is σ = 139138560. Its totient is φ = 76365120.

The previous prime is 105243893. The next prime is 105243911. The reversal of 105243905 is 509342501.

It is not a de Polignac number, because 105243905 - 2⁶ = 105243841 is a prime.

It is a super-2 number, since 2×105243905² = 22152559079298050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48800 + ... + 50910.

It is an arithmetic number, because the mean of its divisors is an integer number (5797440).

Almost surely, 2^105243905 is an apocalyptic number.

It is an amenable number.

105243905 is a deficient number, since it is larger than the sum of its proper divisors (33894655).

105243905 is a wasteful number, since it uses less digits than its factorization.

105243905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2201 (or 2188 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 105243905 is about 10258.8452079169. The cubic root of 105243905 is about 472.1344073438.

The spelling of 105243905 in words is "one hundred five million, two hundred forty-three thousand, nine hundred five".