106878288 has 80 divisors (see below), whose sum is σ = 305551872. Its totient is φ = 31920000.

The previous prime is 106878281. The next prime is 106878307. The reversal of 106878288 is 882878601.

It is a super-2 number, since 2×106878288² = 22845936891621888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106878281) 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, 36063 + ... + 38913.

Almost surely, 2^106878288 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 106878288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152775936).

106878288 is an abundant number, since it is smaller than the sum of its proper divisors (198673584).

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

106878288 is a wasteful number, since it uses less digits than its factorization.

106878288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 106878288 is about 10338.1955872386. The cubic root of 106878288 is about 474.5658644607.

The spelling of 106878288 in words is "one hundred six million, eight hundred seventy-eight thousand, two hundred eighty-eight".