103768451250688 has 120 divisors (see below), whose sum is σ = 242081329436100. Its totient is φ = 44306866372608.

The previous prime is 103768451250637. The next prime is 103768451250733. The reversal of 103768451250688 is 886052154867301.

It can be written as a sum of positive squares in 2 ways, for example, as 96763578575104 + 7004872675584 = 9836848^2 + 2646672^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 939393 + ... + 14436736.

Almost surely, 2^{103768451250688} 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 103768451250688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121040664718050).

103768451250688 is an abundant number, since it is smaller than the sum of its proper divisors (138312878185412).

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

103768451250688 is an equidigital number, since it uses as much as digits as its factorization.

103768451250688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15376430 (or 15376407 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 64.

The spelling of 103768451250688 in words is "one hundred three trillion, seven hundred sixty-eight billion, four hundred fifty-one million, two hundred fifty thousand, six hundred eighty-eight".