103686920064 has 768 divisors, whose sum is σ = 394646878080. Its totient is φ = 25352994816.

The previous prime is 103686920053. The next prime is 103686920093. The reversal of 103686920064 is 460029686301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 130096114 + ... + 130096910.

Almost surely, 2^103686920064 is an apocalyptic number.

103686920064 is a gapful number since it is divisible by the number (14) 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 103686920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197323439040).

103686920064 is an abundant number, since it is smaller than the sum of its proper divisors (290959958016).

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

103686920064 is a wasteful number, since it uses less digits than its factorization.

103686920064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 103686920064 in words is "one hundred three billion, six hundred eighty-six million, nine hundred twenty thousand, sixty-four".