84076010100 has 144 divisors (see below), whose sum is σ = 282040698240. Its totient is φ = 21445459200.

The previous prime is 84076010099. The next prime is 84076010149. The reversal of 84076010100 is 101067048.

It is a happy number.

84076010100 is a `hidden beast` number, since 8 + 40 + 7 + 601 + 0 + 10 + 0 = 666.

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

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 614841 + ... + 739040.

It is an arithmetic number, because the mean of its divisors is an integer number (1958615960).

Almost surely, 2^84076010100 is an apocalyptic number.

It is an amenable number.

84076010100 is an abundant number, since it is smaller than the sum of its proper divisors (197964688140).

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

84076010100 is a wasteful number, since it uses less digits than its factorization.

84076010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353927 (or 1353914 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 84076010100 its reverse (101067048), we get a palindrome (84177077148).

It can be divided in two parts, 840760 and 10100, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 84076010100 in words is "eighty-four billion, seventy-six million, ten thousand, one hundred".