84250100 has 72 divisors (see below), whose sum is σ = 200987136. Its totient is φ = 30400000.

The previous prime is 84250087. The next prime is 84250139. The reversal of 84250100 is 105248.

84250100 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

84250100 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209900 + ... + 210300.

It is an arithmetic number, because the mean of its divisors is an integer number (2791488).

Almost surely, 2^84250100 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 84250100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100493568).

84250100 is an abundant number, since it is smaller than the sum of its proper divisors (116737036).

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

84250100 is a wasteful number, since it uses less digits than its factorization.

84250100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 84250100 is about 9178.7853226884. The cubic root of 84250100 is about 438.3861332237.

Adding to 84250100 its reverse (105248), we get a palindrome (84355348).

The spelling of 84250100 in words is "eighty-four million, two hundred fifty thousand, one hundred".