102216444 has 144 divisors (see below), whose sum is σ = 287165088. Its totient is φ = 28160000.

The previous prime is 102216431. The next prime is 102216451. The reversal of 102216444 is 444612201.

102216444 = 3571² + 3572² + ... + 3578².

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1011994 + ... + 1012094.

It is an arithmetic number, because the mean of its divisors is an integer number (1994202).

Almost surely, 2^102216444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102216444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143582544).

102216444 is an abundant number, since it is smaller than the sum of its proper divisors (184948644).

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

102216444 is a wasteful number, since it uses less digits than its factorization.

102216444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 102216444 is about 10110.2148345127. The cubic root of 102216444 is about 467.5631287299.

Adding to 102216444 its reverse (444612201), we get a palindrome (546828645).

The spelling of 102216444 in words is "one hundred two million, two hundred sixteen thousand, four hundred forty-four".