16008100 has 18 divisors (see below), whose sum is σ = 34737794. Its totient is φ = 6403200.

The previous prime is 16008071. The next prime is 16008137. The reversal of 16008100 is 180061.

It can be written as a sum of positive squares in 3 ways, for example, as 5419584 + 10588516 = 2328^2 + 3254^2 .

It is a super-2 number, since 2×16008100² = 512518531220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79941 + ... + 80140.

Almost surely, 2^16008100 is an apocalyptic number.

16008100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16008100 is an abundant number, since it is smaller than the sum of its proper divisors (18729694).

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

16008100 is a wasteful number, since it uses less digits than its factorization.

16008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160095 (or 160088 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The square root of 16008100 is about 4001.0123718879. The cubic root of 16008100 is about 252.0267251408.

Adding to 16008100 its reverse (180061), we get a palindrome (16188161).

It can be divided in two parts, 1600 and 8100, that multiplied together give a 4-th power (12960000 = 60⁴).

The spelling of 16008100 in words is "sixteen million, eight thousand, one hundred".