83066100 has 216 divisors, whose sum is σ = 277794720. Its totient is φ = 19042560.

The previous prime is 83066099. The next prime is 83066141. The reversal of 83066100 is 166038.

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, 1407871 + ... + 1407929.

Almost surely, 2^83066100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138897360).

83066100 is an abundant number, since it is smaller than the sum of its proper divisors (194728620).

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

83066100 is a wasteful number, since it uses less digits than its factorization.

83066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 83066100 is about 9114.0605659607. The cubic root of 83066100 is about 436.3228327535.

The spelling of 83066100 in words is "eighty-three million, sixty-six thousand, one hundred".