82425618100 has 72 divisors (see below), whose sum is σ = 204603779520. Its totient is φ = 28234187520.

The previous prime is 82425618049. The next prime is 82425618103. The reversal of 82425618100 is 181652428.

It is a super-2 number, since 2×82425618100² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 82425618100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82425618103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714231 + ... + 821569.

It is an arithmetic number, because the mean of its divisors is an integer number (2841719160).

Almost surely, 2^82425618100 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 82425618100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102301889760).

82425618100 is an abundant number, since it is smaller than the sum of its proper divisors (122178161420).

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

82425618100 is a wasteful number, since it uses less digits than its factorization.

82425618100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108457 (or 108450 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The spelling of 82425618100 in words is "eighty-two billion, four hundred twenty-five million, six hundred eighteen thousand, one hundred".