103881520960 has 168 divisors, whose sum is σ = 288138376224. Its totient is φ = 35569013760.

The previous prime is 103881520957. The next prime is 103881520997. The reversal of 103881520960 is 69025188301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12963355 + ... + 12971365.

Almost surely, 2^103881520960 is an apocalyptic number.

103881520960 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 103881520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144069188112).

103881520960 is an abundant number, since it is smaller than the sum of its proper divisors (184256855264).

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

103881520960 is an equidigital number, since it uses as much as digits as its factorization.

103881520960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8869 (or 8852 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 103881520960 in words is "one hundred three billion, eight hundred eighty-one million, five hundred twenty thousand, nine hundred sixty".