105106782 has 32 divisors (see below), whose sum is σ = 233092224. Its totient is φ = 31327200.

The previous prime is 105106777. The next prime is 105106823. The reversal of 105106782 is 287601501.

It is a super-2 number, since 2×105106782² = 22094871244791048, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9028 + ... + 17079.

It is an arithmetic number, because the mean of its divisors is an integer number (7284132).

Almost surely, 2^105106782 is an apocalyptic number.

105106782 is an abundant number, since it is smaller than the sum of its proper divisors (127985442).

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

105106782 is a wasteful number, since it uses less digits than its factorization.

105106782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26184.

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 105106782 is about 10252.1598699981. The cubic root of 105106782 is about 471.9292691820.

The spelling of 105106782 in words is "one hundred five million, one hundred six thousand, seven hundred eighty-two".