102213824 has 14 divisors (see below), whose sum is σ = 202830684. Its totient is φ = 51106880.

The previous prime is 102213799. The next prime is 102213827. The reversal of 102213824 is 428312201.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 102213824.

It is not an unprimeable number, because it can be changed into a prime (102213827) by changing a digit.

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 as a sum of consecutive naturals, namely, 798482 + ... + 798609.

It is an arithmetic number, because the mean of its divisors is an integer number (14487906).

Almost surely, 2^102213824 is an apocalyptic number.

It is an amenable number.

102213824 is a deficient number, since it is larger than the sum of its proper divisors (100616860).

102213824 is an equidigital number, since it uses as much as digits as its factorization.

102213824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597103 (or 1597093 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 102213824 is about 10110.0852617572. The cubic root of 102213824 is about 467.5591338546.

The spelling of 102213824 in words is "one hundred two million, two hundred thirteen thousand, eight hundred twenty-four".