106066483200 has 864 divisors, whose sum is σ = 399949870320. Its totient is φ = 26836992000.

The previous prime is 106066483141. The next prime is 106066483217. The reversal of 106066483200 is 2384660601.

106066483200 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 648 + 3 + 2 + 0 + 0 = 666.

106066483200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106066483200² (a number of 23 digits) 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 71 ways as a sum of consecutive naturals, for example, 1050163150 + ... + 1050163250.

Almost surely, 2^106066483200 is an apocalyptic number.

106066483200 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 106066483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199974935160).

106066483200 is an abundant number, since it is smaller than the sum of its proper divisors (293883387120).

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

106066483200 is a wasteful number, since it uses less digits than its factorization.

106066483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106066483200 in words is "one hundred six billion, sixty-six million, four hundred eighty-three thousand, two hundred".