84861516100 has 27 divisors (see below), whose sum is σ = 184155811581. Its totient is φ = 33943441200.

The previous prime is 84861516073. The next prime is 84861516121. The reversal of 84861516100 is 161516848.

The square root of 84861516100 is 291310.

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

It can be written as a sum of positive squares in only one way, i.e., 30550145796 + 54311370304 = 174786^2 + 233048^2 .

It is a super-3 number, since 3×84861516100³ (a number of 34 digits) contains 333 as substring.

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 8 ways as a sum of consecutive naturals, for example, 2898535 + ... + 2927665.

Almost surely, 2^84861516100 is an apocalyptic number.

84861516100 is the 291310-th square number.

It is an amenable number.

84861516100 is an abundant number, since it is smaller than the sum of its proper divisors (99294295481).

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

84861516100 is an frugal number, since it uses more digits than its factorization.

84861516100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58276 (or 29138 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The spelling of 84861516100 in words is "eighty-four billion, eight hundred sixty-one million, five hundred sixteen thousand, one hundred".