82420668100 has 81 divisors (see below), whose sum is σ = 188886602541. Its totient is φ = 31212424800.

The previous prime is 82420668079. The next prime is 82420668101. The reversal of 82420668100 is 186602428.

The square root of 82420668100 is 287090.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29671440516 + 52749227584 = 172254^2 + 229672^2 .

It is a super-2 number, since 2×82420668100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82420668100.

It is not an unprimeable number, because it can be changed into a prime (82420668101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 54546345 + ... + 54547855.

Almost surely, 2^82420668100 is an apocalyptic number.

82420668100 is the 287090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82420668100

82420668100 is an abundant number, since it is smaller than the sum of its proper divisors (106465934441).

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

82420668100 is a wasteful number, since it uses less digits than its factorization.

82420668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3074 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 82420668100 in words is "eighty-two billion, four hundred twenty million, six hundred sixty-eight thousand, one hundred".