16006101300 has 216 divisors, whose sum is σ = 57613937472. Its totient is φ = 3640896000.

The previous prime is 16006101299. The next prime is 16006101311. The reversal of 16006101300 is 310160061.

16006101300 is a `hidden beast` number, since 1 + 600 + 61 + 0 + 1 + 3 + 0 + 0 = 666.

16006101300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1323280 + ... + 1335320.

It is an arithmetic number, because the mean of its divisors is an integer number (266731192).

Almost surely, 2^16006101300 is an apocalyptic number.

16006101300 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 16006101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28806968736).

16006101300 is an abundant number, since it is smaller than the sum of its proper divisors (41607836172).

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

16006101300 is a wasteful number, since it uses less digits than its factorization.

16006101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12279 (or 12269 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 16006101300 its reverse (310160061), we get a palindrome (16316261361).

The spelling of 16006101300 in words is "sixteen billion, six million, one hundred one thousand, three hundred".