106782126 has 32 divisors (see below), whose sum is σ = 233843328. Its totient is φ = 32238240.

The previous prime is 106782119. The next prime is 106782127. The reversal of 106782126 is 621287601.

It is a super-2 number, since 2×106782126² = 22804844866159752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106782127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15820 + ... + 21536.

It is an arithmetic number, because the mean of its divisors is an integer number (7307604).

Almost surely, 2^106782126 is an apocalyptic number.

106782126 is an abundant number, since it is smaller than the sum of its proper divisors (127061202).

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

106782126 is a wasteful number, since it uses less digits than its factorization.

106782126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6016.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106782126 is about 10333.5437290409. The cubic root of 106782126 is about 474.4234941163.

The spelling of 106782126 in words is "one hundred six million, seven hundred eighty-two thousand, one hundred twenty-six".