84100000 has 108 divisors (see below), whose sum is σ = 214333938. Its totient is φ = 32480000.

The previous prime is 84099991. The next prime is 84100007. The reversal of 84100000 is 148.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 36820624 + 47279376 = 6068^2 + 6876^2 .

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (84100007) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2899986 + ... + 2900014.

Almost surely, 2^84100000 is an apocalyptic number.

84100000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107166969).

84100000 is an abundant number, since it is smaller than the sum of its proper divisors (130233938).

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

84100000 is an frugal number, since it uses more digits than its factorization.

84100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 84100000 is about 9170.6052144883. The cubic root of 84100000 is about 438.1256355120.

Adding to 84100000 its reverse (148), we get a palindrome (84100148).

The spelling of 84100000 in words is "eighty-four million, one hundred thousand".