106882240 has 56 divisors (see below), whose sum is σ = 257110992. Its totient is φ = 42316800.

The previous prime is 106882231. The next prime is 106882267. The reversal of 106882240 is 42288601.

It is a super-2 number, since 2×106882240² = 22847626454835200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 30667 + ... + 33973.

Almost surely, 2^106882240 is an apocalyptic number.

106882240 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 106882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128555496).

106882240 is an abundant number, since it is smaller than the sum of its proper divisors (150228752).

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

106882240 is a wasteful number, since it uses less digits than its factorization.

106882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3425 (or 3415 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 106882240 is about 10338.3867213410. The cubic root of 106882240 is about 474.5717136724.

The spelling of 106882240 in words is "one hundred six million, eight hundred eighty-two thousand, two hundred forty".