216924100 has 36 divisors (see below), whose sum is σ = 472731028. Its totient is φ = 86400000.

The previous prime is 216924073. The next prime is 216924119. The reversal of 216924100 is 1429612.

It can be written as a sum of positive squares in 6 ways, for example, as 7311616 + 209612484 = 2704^2 + 14478^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19600 + ... + 28600.

Almost surely, 2^216924100 is an apocalyptic number.

216924100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216924100 is an abundant number, since it is smaller than the sum of its proper divisors (255806928).

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

216924100 is a wasteful number, since it uses less digits than its factorization.

216924100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9256 (or 9249 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 216924100 is about 14728.3434234811. The cubic root of 216924100 is about 600.8544308172.

It can be divided in two parts, 2169 and 24100, that multiplied together give a square (52272900 = 7230²).

The spelling of 216924100 in words is "two hundred sixteen million, nine hundred twenty-four thousand, one hundred".