102024544000540 has 192 divisors, whose sum is σ = 247991639261184. Its totient is φ = 34534704264192.

The previous prime is 102024544000523. The next prime is 102024544000541. The reversal of 102024544000540 is 45000445420201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102024544000541) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7213776709 + ... + 7213790851.

It is an arithmetic number, because the mean of its divisors is an integer number (1291623121152).

Almost surely, 2^{102024544000540} is an apocalyptic number.

102024544000540 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 102024544000540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123995819630592).

102024544000540 is an abundant number, since it is smaller than the sum of its proper divisors (145967095260644).

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

102024544000540 is a wasteful number, since it uses less digits than its factorization.

102024544000540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15876 (or 15874 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 31.

Adding to 102024544000540 its reverse (45000445420201), we get a palindrome (147024989420741).

The spelling of 102024544000540 in words is "one hundred two trillion, twenty-four billion, five hundred forty-four million, five hundred forty", and thus it is an aban number.