16564010100 has 144 divisors (see below), whose sum is σ = 52800745536. Its totient is φ = 3975680000.

The previous prime is 16564010087. The next prime is 16564010123. The reversal of 16564010100 is 101046561.

It is a super-3 number, since 3×16564010100³ (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308452 + ... + 358148.

It is an arithmetic number, because the mean of its divisors is an integer number (366671844).

Almost surely, 2^16564010100 is an apocalyptic number.

16564010100 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 16564010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26400372768).

16564010100 is an abundant number, since it is smaller than the sum of its proper divisors (36236735436).

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

16564010100 is a wasteful number, since it uses less digits than its factorization.

16564010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49826 (or 49819 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 16564010100 its reverse (101046561), we get a palindrome (16665056661).

The spelling of 16564010100 in words is "sixteen billion, five hundred sixty-four million, ten thousand, one hundred".