216754100 has 36 divisors (see below), whose sum is σ = 479242764. Its totient is φ = 85063680.

The previous prime is 216754061. The next prime is 216754121. The reversal of 216754100 is 1457612.

It can be written as a sum of positive squares in 6 ways, for example, as 7431076 + 209323024 = 2726^2 + 14468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 216754100.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15149 + ... + 25748.

It is an arithmetic number, because the mean of its divisors is an integer number (13312299).

Almost surely, 2^216754100 is an apocalyptic number.

216754100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216754100 is an abundant number, since it is smaller than the sum of its proper divisors (262488664).

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

216754100 is a wasteful number, since it uses less digits than its factorization.

216754100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40964 (or 40957 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 216754100 is about 14722.5711069772. The cubic root of 216754100 is about 600.6974297462.

The spelling of 216754100 in words is "two hundred sixteen million, seven hundred fifty-four thousand, one hundred".