103917098880 has 1536 divisors, whose sum is σ = 458124595200. Its totient is φ = 22156001280.

The previous prime is 103917098863. The next prime is 103917098897. The reversal of 103917098880 is 88890719301.

It is an interprime number because it is at equal distance from previous prime (103917098863) and next prime (103917098897).

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 191 ways as a sum of consecutive naturals, for example, 971187787 + ... + 971187893.

It is an arithmetic number, because the mean of its divisors is an integer number (298258200).

Almost surely, 2^103917098880 is an apocalyptic number.

103917098880 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 103917098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229062297600).

103917098880 is an abundant number, since it is smaller than the sum of its proper divisors (354207496320).

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

103917098880 is a wasteful number, since it uses less digits than its factorization.

103917098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 103917098880 in words is "one hundred three billion, nine hundred seventeen million, ninety-eight thousand, eight hundred eighty".