84036212100 has 135 divisors (see below), whose sum is σ = 272496800191. Its totient is φ = 22402699200.

The previous prime is 84036212087. The next prime is 84036212131. The reversal of 84036212100 is 121263048.

The square root of 84036212100 is 289890.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1754436996 + 82281775104 = 41886^2 + 286848^2 .

It is a tau number, because it is divible by the number of its divisors (135).

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

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 26088490 + ... + 26091710.

Almost surely, 2^84036212100 is an apocalyptic number.

84036212100 is the 289890-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84036212100

84036212100 is an abundant number, since it is smaller than the sum of its proper divisors (188460588091).

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

84036212100 is an equidigital number, since it uses as much as digits as its factorization.

84036212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6468 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 84036212100 by its product of nonzero digits (2304), we get a square (193619432678400 = 13914720²).

Adding to 84036212100 its reverse (121263048), we get a palindrome (84157475148).

The spelling of 84036212100 in words is "eighty-four billion, thirty-six million, two hundred twelve thousand, one hundred".