102242416224 has 96 divisors (see below), whose sum is σ = 293769885024. Its totient is φ = 30943457280.

The previous prime is 102242416207. The next prime is 102242416247. The reversal of 102242416224 is 422614242201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102242416191 and 102242416200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595389 + ... + 747644.

It is an arithmetic number, because the mean of its divisors is an integer number (3060102969).

Almost surely, 2^102242416224 is an apocalyptic number.

It is an amenable number.

102242416224 is an abundant number, since it is smaller than the sum of its proper divisors (191527468800).

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

102242416224 is a wasteful number, since it uses less digits than its factorization.

102242416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343120 (or 1343112 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 102242416224 its reverse (422614242201), we get a palindrome (524856658425).

The spelling of 102242416224 in words is "one hundred two billion, two hundred forty-two million, four hundred sixteen thousand, two hundred twenty-four".