106884000 has 144 divisors (see below), whose sum is σ = 379459080. Its totient is φ = 28492800.

The previous prime is 106883999. The next prime is 106884023. The reversal of 106884000 is 488601.

It can be written as a sum of positive squares in 4 ways, for example, as 5035536 + 101848464 = 2244^2 + 10092^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106884000² = 22848378912000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34516 + ... + 37484.

Almost surely, 2^106884000 is an apocalyptic number.

106884000 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 106884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189729540).

106884000 is an abundant number, since it is smaller than the sum of its proper divisors (272575080).

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

106884000 is a wasteful number, since it uses less digits than its factorization.

106884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3000 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106884000 is about 10338.4718406542. The cubic root of 106884000 is about 474.5743185380.

The spelling of 106884000 in words is "one hundred six million, eight hundred eighty-four thousand".