16794137100 has 288 divisors, whose sum is σ = 54092537856. Its totient is φ = 3996518400.

The previous prime is 16794137099. The next prime is 16794137117. The reversal of 16794137100 is 173149761.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20306887 + ... + 20307713.

It is an arithmetic number, because the mean of its divisors is an integer number (187821312).

Almost surely, 2^16794137100 is an apocalyptic number.

16794137100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16794137100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27046268928).

16794137100 is an abundant number, since it is smaller than the sum of its proper divisors (37298400756).

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

16794137100 is a wasteful number, since it uses less digits than its factorization.

16794137100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The spelling of 16794137100 in words is "sixteen billion, seven hundred ninety-four million, one hundred thirty-seven thousand, one hundred".