103918913280 has 1152 divisors, whose sum is σ = 458881597440. Its totient is φ = 21684879360.

The previous prime is 103918913251. The next prime is 103918913297. The reversal of 103918913280 is 82319819301.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 544077985 + ... + 544078175.

It is an arithmetic number, because the mean of its divisors is an integer number (398334720).

Almost surely, 2^103918913280 is an apocalyptic number.

103918913280 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 103918913280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229440798720).

103918913280 is an abundant number, since it is smaller than the sum of its proper divisors (354962684160).

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

103918913280 is a wasteful number, since it uses less digits than its factorization.

103918913280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 103918913280 in words is "one hundred three billion, nine hundred eighteen million, nine hundred thirteen thousand, two hundred eighty".