103241990866560 has 768 divisors, whose sum is σ = 415563397920000. Its totient is φ = 21782902063104.

The previous prime is 103241990866549. The next prime is 103241990866571. The reversal of 103241990866560 is 65668099142301.

It is an interprime number because it is at equal distance from previous prime (103241990866549) and next prime (103241990866571).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 103241990866494 and 103241990866503.

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, 110832826 + ... + 111760454.

It is an arithmetic number, because the mean of its divisors is an integer number (541098174375).

Almost surely, 2^{103241990866560} is an apocalyptic number.

103241990866560 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 103241990866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207781698960000).

103241990866560 is an abundant number, since it is smaller than the sum of its proper divisors (312321407053440).

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

103241990866560 is an equidigital number, since it uses as much as digits as its factorization.

103241990866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927698 (or 927659 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 103241990866560 in words is "one hundred three trillion, two hundred forty-one billion, nine hundred ninety million, eight hundred sixty-six thousand, five hundred sixty".