106878768 has 80 divisors (see below), whose sum is σ = 282898560. Its totient is φ = 34762752.

The previous prime is 106878767. The next prime is 106878787. The reversal of 106878768 is 867878601.

It is a super-2 number, since 2×106878768² = 22846142098395648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106878768.

It is not an unprimeable number, because it can be changed into a prime (106878763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 553680 + ... + 553872.

It is an arithmetic number, because the mean of its divisors is an integer number (3536232).

Almost surely, 2^106878768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141449280).

106878768 is an abundant number, since it is smaller than the sum of its proper divisors (176019792).

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

106878768 is a wasteful number, since it uses less digits than its factorization.

106878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 106878768 is about 10338.2188020955. The cubic root of 106878768 is about 474.5665748990.

The spelling of 106878768 in words is "one hundred six million, eight hundred seventy-eight thousand, seven hundred sixty-eight".