83100160 has 160 divisors (see below), whose sum is σ = 235109952. Its totient is φ = 27770880.

The previous prime is 83100151. The next prime is 83100161. The reversal of 83100160 is 6100138.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (83100161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365967 + ... + 366193.

Almost surely, 2^83100160 is an apocalyptic number.

83100160 is a gapful number since it is divisible by the number (80) 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 83100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117554976).

83100160 is an abundant number, since it is smaller than the sum of its proper divisors (152009792).

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

83100160 is a wasteful number, since it uses less digits than its factorization.

83100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 83100160 is about 9115.9289159142. The cubic root of 83100160 is about 436.3824604674.

Adding to 83100160 its reverse (6100138), we get a palindrome (89200298).

The spelling of 83100160 in words is "eighty-three million, one hundred thousand, one hundred sixty".