82196100 has 144 divisors (see below), whose sum is σ = 302064000. Its totient is φ = 18783360.

The previous prime is 82196099. The next prime is 82196111. The reversal of 82196100 is 169128.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16726 + ... + 21074.

Almost surely, 2^82196100 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 82196100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151032000).

82196100 is an abundant number, since it is smaller than the sum of its proper divisors (219867900).

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

82196100 is a wasteful number, since it uses less digits than its factorization.

82196100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4379 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 82196100 is about 9066.2064834196. The cubic root of 82196100 is about 434.7941951550.

The spelling of 82196100 in words is "eighty-two million, one hundred ninety-six thousand, one hundred".