82402100 has 72 divisors (see below), whose sum is σ = 203611968. Its totient is φ = 28652800.

The previous prime is 82402093. The next prime is 82402109. The reversal of 82402100 is 120428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82402109) 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, 23672 + ... + 26928.

It is an arithmetic number, because the mean of its divisors is an integer number (2827944).

Almost surely, 2^82402100 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 82402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101805984).

82402100 is an abundant number, since it is smaller than the sum of its proper divisors (121209868).

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

82402100 is a wasteful number, since it uses less digits than its factorization.

82402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3305 (or 3298 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 82402100 is about 9077.5602449116. The cubic root of 82402100 is about 435.1571194437.

Adding to 82402100 its reverse (120428), we get a palindrome (82522528).

The spelling of 82402100 in words is "eighty-two million, four hundred two thousand, one hundred".