82100160 has 168 divisors, whose sum is σ = 292425120. Its totient is φ = 21116928.

The previous prime is 82100153. The next prime is 82100171. The reversal of 82100160 is 6100128.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83029 + ... + 84011.

Almost surely, 2^82100160 is an apocalyptic number.

82100160 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 82100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146212560).

82100160 is an abundant number, since it is smaller than the sum of its proper divisors (210324960).

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

82100160 is a wasteful number, since it uses less digits than its factorization.

82100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1022 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 82100160 is about 9060.9138611952. The cubic root of 82100160 is about 434.6249641115.

Adding to 82100160 its reverse (6100128), we get a palindrome (88200288).

The spelling of 82100160 in words is "eighty-two million, one hundred thousand, one hundred sixty".