106678884 has 72 divisors (see below), whose sum is σ = 276327072. Its totient is φ = 31998720.

The previous prime is 106678883. The next prime is 106678889. The reversal of 106678884 is 488876601.

It is a super-3 number, since 3×106678884³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106678883) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82507 + ... + 83789.

It is an arithmetic number, because the mean of its divisors is an integer number (3837876).

Almost surely, 2^106678884 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 106678884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138163536).

106678884 is an abundant number, since it is smaller than the sum of its proper divisors (169648188).

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

106678884 is a wasteful number, since it uses less digits than its factorization.

106678884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 106678884 is about 10328.5470420578. The cubic root of 106678884 is about 474.2705464704.

The spelling of 106678884 in words is "one hundred six million, six hundred seventy-eight thousand, eight hundred eighty-four".