102003242440 has 128 divisors (see below), whose sum is σ = 255351553920. Its totient is φ = 36355737600.

The previous prime is 102003242431. The next prime is 102003242441. The reversal of 102003242440 is 44242300201.

It is a happy number.

It is a super-2 number, since 2×102003242440² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (102003242441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35701492 + ... + 35704348.

It is an arithmetic number, because the mean of its divisors is an integer number (1994934015).

Almost surely, 2^102003242440 is an apocalyptic number.

102003242440 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 102003242440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127675776960).

102003242440 is an abundant number, since it is smaller than the sum of its proper divisors (153348311480).

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

102003242440 is a wasteful number, since it uses less digits than its factorization.

102003242440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4463 (or 4459 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 102003242440 its reverse (44242300201), we get a palindrome (146245542641).

It can be divided in two parts, 102003 and 242440, that added together give a palindrome (344443).

The spelling of 102003242440 in words is "one hundred two billion, three million, two hundred forty-two thousand, four hundred forty".