82070100 has 162 divisors, whose sum is σ = 299404014. Its totient is φ = 18748800.

The previous prime is 82070099. The next prime is 82070111. The reversal of 82070100 is 107028.

It can be written as a sum of positive squares in 3 ways, for example, as 1285956 + 80784144 = 1134^2 + 8988^2 .

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 43170 + ... + 45030.

Almost surely, 2^82070100 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 82070100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149702007).

82070100 is an abundant number, since it is smaller than the sum of its proper divisors (217333914).

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

82070100 is a wasteful number, since it uses less digits than its factorization.

82070100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 82070100 is about 9059.2549362517. The cubic root of 82070100 is about 434.5719133775.

Adding to 82070100 its reverse (107028), we get a palindrome (82177128).

The spelling of 82070100 in words is "eighty-two million, seventy thousand, one hundred".