106066800 has 480 divisors, whose sum is σ = 457589760. Its totient is φ = 22809600.

The previous prime is 106066799. The next prime is 106066847. The reversal of 106066800 is 8660601.

It is a super-2 number, since 2×106066800² = 22500332124480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 1738770 + ... + 1738830.

It is an arithmetic number, because the mean of its divisors is an integer number (953312).

Almost surely, 2^106066800 is an apocalyptic number.

106066800 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 106066800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228794880).

106066800 is an abundant number, since it is smaller than the sum of its proper divisors (351522960).

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

106066800 is a wasteful number, since it uses less digits than its factorization.

106066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 106066800 is about 10298.8737248303. The cubic root of 106066800 is about 473.3617430985.

The spelling of 106066800 in words is "one hundred six million, sixty-six thousand, eight hundred".