105782742 has 48 divisors (see below), whose sum is σ = 247927680. Its totient is φ = 32403456.

The previous prime is 105782737. The next prime is 105782771. The reversal of 105782742 is 247287501.

105782742 is a `hidden beast` number, since 10 + 578 + 2 + 74 + 2 = 666.

It is a super-2 number, since 2×105782742² = 22379977010077128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105782697 and 105782706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59259 + ... + 61017.

It is an arithmetic number, because the mean of its divisors is an integer number (5165160).

Almost surely, 2^105782742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105782742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123963840).

105782742 is an abundant number, since it is smaller than the sum of its proper divisors (142144938).

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

105782742 is a wasteful number, since it uses less digits than its factorization.

105782742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2037 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 105782742 is about 10285.0737479126. The cubic root of 105782742 is about 472.9387945304.

The spelling of 105782742 in words is "one hundred five million, seven hundred eighty-two thousand, seven hundred forty-two".