106768380 has 72 divisors (see below), whose sum is σ = 304080336. Its totient is φ = 27991040.

The previous prime is 106768379. The next prime is 106768393. The reversal of 106768380 is 83867601.

It is a super-2 number, since 2×106768380² = 22798973935648800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 302284 + ... + 302636.

It is an arithmetic number, because the mean of its divisors is an integer number (4223338).

Almost surely, 2^106768380 is an apocalyptic number.

106768380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106768380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152040168).

106768380 is an abundant number, since it is smaller than the sum of its proper divisors (197311956).

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

106768380 is a wasteful number, since it uses less digits than its factorization.

106768380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 106768380 is about 10332.8785921446. The cubic root of 106768380 is about 474.4031358240.

The spelling of 106768380 in words is "one hundred six million, seven hundred sixty-eight thousand, three hundred eighty".