102737020296768 has 2688 divisors, whose sum is σ = 366785036255232. Its totient is φ = 24967249920000.

The previous prime is 102737020296719. The next prime is 102737020296793. The reversal of 102737020296768 is 867692020737201.

It is a happy number.

102737020296768 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 615191738221 + ... + 615191738387.

It is an arithmetic number, because the mean of its divisors is an integer number (136452766464).

Almost surely, 2^{102737020296768} 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 102737020296768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183392518127616).

102737020296768 is an abundant number, since it is smaller than the sum of its proper divisors (264048015958464).

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

102737020296768 is a wasteful number, since it uses less digits than its factorization.

102737020296768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 60.

The spelling of 102737020296768 in words is "one hundred two trillion, seven hundred thirty-seven billion, twenty million, two hundred ninety-six thousand, seven hundred sixty-eight".