103500570240 has 384 divisors, whose sum is σ = 362987089920. Its totient is φ = 27172454400.

The previous prime is 103500570223. The next prime is 103500570247. The reversal of 103500570240 is 42075005301.

It is a happy number.

103500570240 is a `hidden beast` number, since 1 + 0 + 3 + 50 + 0 + 570 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (103500570247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110459052 + ... + 110459988.

It is an arithmetic number, because the mean of its divisors is an integer number (945278880).

Almost surely, 2^103500570240 is an apocalyptic number.

103500570240 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 103500570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181493544960).

103500570240 is an abundant number, since it is smaller than the sum of its proper divisors (259486519680).

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

103500570240 is a wasteful number, since it uses less digits than its factorization.

103500570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 103500570240 its reverse (42075005301), we get a palindrome (145575575541).

The spelling of 103500570240 in words is "one hundred three billion, five hundred million, five hundred seventy thousand, two hundred forty".