100416543066 has 96 divisors (see below), whose sum is σ = 262199308800. Its totient is φ = 27132446880.

The previous prime is 100416543011. The next prime is 100416543077. The reversal of 100416543066 is 660345614001.

It is a happy number.

100416543066 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 165 + 430 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 100416543066.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1330245 + ... + 1403703.

It is an arithmetic number, because the mean of its divisors is an integer number (2731242800).

Almost surely, 2^100416543066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100416543066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131099654400).

100416543066 is an abundant number, since it is smaller than the sum of its proper divisors (161782765734).

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

100416543066 is a wasteful number, since it uses less digits than its factorization.

100416543066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74064 (or 74061 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100416543066 in words is "one hundred billion, four hundred sixteen million, five hundred forty-three thousand, sixty-six".