103090144884480 has 2016 divisors, whose sum is σ = 404644283588160. Its totient is φ = 25002002350080.

The previous prime is 103090144884469. The next prime is 103090144884499. The reversal of 103090144884480 is 84488441090301.

103090144884480 is a `hidden beast` number, since 1 + 0 + 30 + 9 + 0 + 14 + 48 + 84 + 480 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 427759937160 + ... + 427759937400.

It is an arithmetic number, because the mean of its divisors is an integer number (200716410510).

Almost surely, 2^{103090144884480} is an apocalyptic number.

103090144884480 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 103090144884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202322141794080).

103090144884480 is an abundant number, since it is smaller than the sum of its proper divisors (301554138703680).

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

103090144884480 is a wasteful number, since it uses less digits than its factorization.

103090144884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 103090144884480 in words is "one hundred three trillion, ninety billion, one hundred forty-four million, eight hundred eighty-four thousand, four hundred eighty".