103461284810880 has 1536 divisors, whose sum is σ = 404430848640000. Its totient is φ = 25174651944960.

The previous prime is 103461284810839. The next prime is 103461284810921. The reversal of 103461284810880 is 88018482164301.

103461284810880 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 61 + 28 + 481 + 0 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (103461284810839) and next prime (103461284810921).

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

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 191 ways as a sum of consecutive naturals, for example, 42074535091 + ... + 42074537549.

It is an arithmetic number, because the mean of its divisors is an integer number (263301333750).

Almost surely, 2^{103461284810880} is an apocalyptic number.

103461284810880 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 103461284810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202215424320000).

103461284810880 is an abundant number, since it is smaller than the sum of its proper divisors (300969563829120).

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

103461284810880 is a wasteful number, since it uses less digits than its factorization.

103461284810880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3008 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 103461284810880 in words is "one hundred three trillion, four hundred sixty-one billion, two hundred eighty-four million, eight hundred ten thousand, eight hundred eighty".