103520585520 has 480 divisors, whose sum is σ = 394459752960. Its totient is φ = 25022545920.

The previous prime is 103520585501. The next prime is 103520585557. The reversal of 103520585520 is 25585025301.

103520585520 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 20 + 585 + 52 + 0 = 666.

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

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, 123385261 + ... + 123386099.

It is an arithmetic number, because the mean of its divisors is an integer number (821791152).

Almost surely, 2^103520585520 is an apocalyptic number.

103520585520 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 103520585520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197229876480).

103520585520 is an abundant number, since it is smaller than the sum of its proper divisors (290939167440).

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

103520585520 is a wasteful number, since it uses less digits than its factorization.

103520585520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

The spelling of 103520585520 in words is "one hundred three billion, five hundred twenty million, five hundred eighty-five thousand, five hundred twenty".