100016934080 has 112 divisors (see below), whose sum is σ = 277744123200. Its totient is φ = 34291482624.

The previous prime is 100016934079. The next prime is 100016934089. The reversal of 100016934080 is 80439610001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (100016934089) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 345857 + ... + 565376.

Almost surely, 2^100016934080 is an apocalyptic number.

100016934080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100016934080 is an abundant number, since it is smaller than the sum of its proper divisors (177727189120).

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

100016934080 is an frugal number, since it uses more digits than its factorization.

100016934080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911271 (or 911247 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 100016934080 in words is "one hundred billion, sixteen million, nine hundred thirty-four thousand, eighty".