102758307712 has 128 divisors (see below), whose sum is σ = 220843260000. Its totient is φ = 47453700096.

The previous prime is 102758307697. The next prime is 102758307721. The reversal of 102758307712 is 217703857201.

102758307712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25376664 + ... + 25380712.

Almost surely, 2^102758307712 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 102758307712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110421630000).

102758307712 is an abundant number, since it is smaller than the sum of its proper divisors (118084952288).

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

102758307712 is a wasteful number, since it uses less digits than its factorization.

102758307712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 43.

The spelling of 102758307712 in words is "one hundred two billion, seven hundred fifty-eight million, three hundred seven thousand, seven hundred twelve".