106386768 has 30 divisors (see below), whose sum is σ = 297735594. Its totient is φ = 35462208.

The previous prime is 106386739. The next prime is 106386779. The reversal of 106386768 is 867683601.

106386768 is a `hidden beast` number, since 1 + 0 + 638 + 6 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56430144 + 49956624 = 7512^2 + 7068^2 .

It is a super-2 number, since 2×106386768² = 22636288810971648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 369255 + ... + 369542.

Almost surely, 2^106386768 is an apocalyptic number.

106386768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106386768 is an abundant number, since it is smaller than the sum of its proper divisors (191348826).

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

106386768 is a wasteful number, since it uses less digits than its factorization.

106386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738811 (or 738802 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106386768 is about 10314.3961529505. The cubic root of 106386768 is about 473.8372565265.

The spelling of 106386768 in words is "one hundred six million, three hundred eighty-six thousand, seven hundred sixty-eight".