102013344 has 84 divisors (see below), whose sum is σ = 301189266. Its totient is φ = 33996672.

The previous prime is 102013259. The next prime is 102013361. The reversal of 102013344 is 443310201.

It can be written as a sum of positive squares in only one way, i.e., 84272400 + 17740944 = 9180^2 + 4212^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 21142 + ... + 25514.

Almost surely, 2^102013344 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 102013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150594633).

102013344 is an abundant number, since it is smaller than the sum of its proper divisors (199175922).

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

102013344 is an frugal number, since it uses more digits than its factorization.

102013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4401 (or 4378 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102013344 is about 10100.1655431978. The cubic root of 102013344 is about 467.2532469649.

Adding to 102013344 its reverse (443310201), we get a palindrome (545323545).

The spelling of 102013344 in words is "one hundred two million, thirteen thousand, three hundred forty-four".