106984800 has 360 divisors, whose sum is σ = 423472896. Its totient is φ = 26127360.

The previous prime is 106984771. The next prime is 106984847. The reversal of 106984800 is 8489601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×106984800² = 22891494862080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 842337 + ... + 842463.

Almost surely, 2^106984800 is an apocalyptic number.

106984800 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 106984800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211736448).

106984800 is an abundant number, since it is smaller than the sum of its proper divisors (316488096).

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

106984800 is a wasteful number, since it uses less digits than its factorization.

106984800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106984800 is about 10343.3456869622. The cubic root of 106984800 is about 474.7234586062.

It can be divided in two parts, 106 and 984800, that added together give a triangular number (984906 = T₁₄₀₃).

The spelling of 106984800 in words is "one hundred six million, nine hundred eighty-four thousand, eight hundred".