102344110440 has 256 divisors, whose sum is σ = 361550407680. Its totient is φ = 22848783360.

The previous prime is 102344110433. The next prime is 102344110457. The reversal of 102344110440 is 44011443201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102344110440.

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 63 ways as a sum of consecutive naturals, for example, 7595149 + ... + 7608611.

It is an arithmetic number, because the mean of its divisors is an integer number (1412306280).

Almost surely, 2^102344110440 is an apocalyptic number.

102344110440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102344110440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180775203840).

102344110440 is an abundant number, since it is smaller than the sum of its proper divisors (259206297240).

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

102344110440 is a wasteful number, since it uses less digits than its factorization.

102344110440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13944 (or 13940 counting only the distinct ones).

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

Adding to 102344110440 its reverse (44011443201), we get a palindrome (146355553641).

The spelling of 102344110440 in words is "one hundred two billion, three hundred forty-four million, one hundred ten thousand, four hundred forty".