105403905 has 12 divisors (see below), whose sum is σ = 182700180. Its totient is φ = 56215392.

The previous prime is 105403901. The next prime is 105403919. The reversal of 105403905 is 509304501.

It can be written as a sum of positive squares in 2 ways, for example, as 67174416 + 38229489 = 8196^2 + 6183^2 .

It is not a de Polignac number, because 105403905 - 2² = 105403901 is a prime.

It is a super-2 number, since 2×105403905² = 22219966378498050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105403901) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171110 + ... + 1171199.

It is an arithmetic number, because the mean of its divisors is an integer number (15225015).

Almost surely, 2^105403905 is an apocalyptic number.

105403905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105403905 is a deficient number, since it is larger than the sum of its proper divisors (77296275).

105403905 is a wasteful number, since it uses less digits than its factorization.

105403905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342320 (or 2342317 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 105403905 is about 10266.6403949880. The cubic root of 105403905 is about 472.3735447270.

The spelling of 105403905 in words is "one hundred five million, four hundred three thousand, nine hundred five".