103382249015520 has 480 divisors, whose sum is σ = 366647250549888. Its totient is φ = 27433164229632.

The previous prime is 103382249015519. The next prime is 103382249015527. The reversal of 103382249015520 is 25510942283301.

103382249015520 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 8 + 2 + 2 + 4 + 90 + 1 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103382249015527) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6598718727 + ... + 6598734393.

Almost surely, 2^{103382249015520} is an apocalyptic number.

103382249015520 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 103382249015520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183323625274944).

103382249015520 is an abundant number, since it is smaller than the sum of its proper divisors (263265001534368).

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

103382249015520 is a wasteful number, since it uses less digits than its factorization.

103382249015520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18164 (or 18147 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 103382249015520 in words is "one hundred three trillion, three hundred eighty-two billion, two hundred forty-nine million, fifteen thousand, five hundred twenty".