103443260231520 has 864 divisors, whose sum is σ = 391460841757440. Its totient is φ = 24854784768000.

The previous prime is 103443260231513. The next prime is 103443260231533. The reversal of 103443260231520 is 25132062344301.

103443260231520 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 32 + 602 + 3 + 15 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 143 ways as a sum of consecutive naturals, for example, 12286877871 + ... + 12286886289.

It is an arithmetic number, because the mean of its divisors is an integer number (453079677960).

Almost surely, 2^{103443260231520} is an apocalyptic number.

103443260231520 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 103443260231520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195730420878720).

103443260231520 is an abundant number, since it is smaller than the sum of its proper divisors (288017581525920).

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

103443260231520 is a wasteful number, since it uses less digits than its factorization.

103443260231520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9080 (or 9058 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 103443260231520 in words is "one hundred three trillion, four hundred forty-three billion, two hundred sixty million, two hundred thirty-one thousand, five hundred twenty".