83206488100 has 72 divisors (see below), whose sum is σ = 192170465928. Its totient is φ = 31162368000.

The previous prime is 83206488089. The next prime is 83206488109. The reversal of 83206488100 is 188460238.

It can be written as a sum of positive squares in 12 ways, for example, as 47569354816 + 35637133284 = 218104^2 + 188778^2 .

It is a super-2 number, since 2×83206488100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83206488109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201300 + ... + 454900.

It is an arithmetic number, because the mean of its divisors is an integer number (2669034249).

Almost surely, 2^83206488100 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 83206488100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96085232964).

83206488100 is an abundant number, since it is smaller than the sum of its proper divisors (108963977828).

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

83206488100 is a wasteful number, since it uses less digits than its factorization.

83206488100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253825 (or 253818 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The spelling of 83206488100 in words is "eighty-three billion, two hundred six million, four hundred eighty-eight thousand, one hundred".