102753242542080 has 1404 divisors, whose sum is σ = 391660050333240. Its totient is φ = 24906323460096.

The previous prime is 102753242542073. The next prime is 102753242542193. The reversal of 102753242542080 is 80245242357201.

102753242542080 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 5 + 3 + 24 + 2 + 542 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 165998776011 + ... + 165998776629.

It is an arithmetic number, because the mean of its divisors is an integer number (278960149810).

Almost surely, 2^{102753242542080} is an apocalyptic number.

102753242542080 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 102753242542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195830025166620).

102753242542080 is an abundant number, since it is smaller than the sum of its proper divisors (288906807791160).

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

102753242542080 is an equidigital number, since it uses as much as digits as its factorization.

102753242542080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

Adding to 102753242542080 its reverse (80245242357201), we get a palindrome (182998484899281).

The spelling of 102753242542080 in words is "one hundred two trillion, seven hundred fifty-three billion, two hundred forty-two million, five hundred forty-two thousand, eighty".