106779582 has 192 divisors, whose sum is σ = 310302720. Its totient is φ = 25754112.

The previous prime is 106779571. The next prime is 106779587. The reversal of 106779582 is 285977601.

106779582 is a `hidden beast` number, since 1 + 0 + 67 + 7 + 9 + 582 = 666.

It is a super-2 number, since 2×106779582² = 22803758264189448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106779587) 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 95 ways as a sum of consecutive naturals, for example, 1462698 + ... + 1462770.

It is an arithmetic number, because the mean of its divisors is an integer number (1616160).

Almost surely, 2^106779582 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106779582, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

106779582 is an abundant number, since it is smaller than the sum of its proper divisors (203523138).

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

106779582 is a wasteful number, since it uses less digits than its factorization.

106779582 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 106779582 is about 10333.4206340398. The cubic root of 106779582 is about 474.4197264978.

The spelling of 106779582 in words is "one hundred six million, seven hundred seventy-nine thousand, five hundred eighty-two".