103933987920 has 640 divisors, whose sum is σ = 435057868800. Its totient is φ = 22290757632.

The previous prime is 103933987901. The next prime is 103933987933. The reversal of 103933987920 is 29789339301.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18428461 + ... + 18434099.

It is an arithmetic number, because the mean of its divisors is an integer number (679777920).

Almost surely, 2^103933987920 is an apocalyptic number.

103933987920 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 103933987920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217528934400).

103933987920 is an abundant number, since it is smaller than the sum of its proper divisors (331123880880).

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

103933987920 is a wasteful number, since it uses less digits than its factorization.

103933987920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5744 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 103933987920 in words is "one hundred three billion, nine hundred thirty-three million, nine hundred eighty-seven thousand, nine hundred twenty".