105705006 has 16 divisors (see below), whose sum is σ = 230629248. Its totient is φ = 32031800.

The previous prime is 105704993. The next prime is 105705043. The reversal of 105705006 is 600507501.

It is a super-2 number, since 2×105705006² = 22347096586920072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 800730 + ... + 800861.

It is an arithmetic number, because the mean of its divisors is an integer number (14414328).

Almost surely, 2^105705006 is an apocalyptic number.

105705006 is an abundant number, since it is smaller than the sum of its proper divisors (124924242).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105705006 is a wasteful number, since it uses less digits than its factorization.

105705006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1601607.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 105705006 is about 10281.2939847083. The cubic root of 105705006 is about 472.8229174704.

It can be divided in two parts, 10570 and 5006, that added together give a triangular number (15576 = T₁₇₆).

The spelling of 105705006 in words is "one hundred five million, seven hundred five thousand, six".