84516102 has 64 divisors (see below), whose sum is σ = 206046720. Its totient is φ = 25466400.

The previous prime is 84516073. The next prime is 84516109. The reversal of 84516102 is 20161548.

84516102 is a `hidden beast` number, since 8 + 45 + 1 + 610 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84516109) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155952 + ... + 156492.

It is an arithmetic number, because the mean of its divisors is an integer number (3219480).

Almost surely, 2^84516102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84516102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103023360).

84516102 is an abundant number, since it is smaller than the sum of its proper divisors (121530618).

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

84516102 is a wasteful number, since it uses less digits than its factorization.

84516102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 84516102 is about 9193.2639470430. The cubic root of 84516102 is about 438.8470192345.

The spelling of 84516102 in words is "eighty-four million, five hundred sixteen thousand, one hundred two".