103552032240 has 240 divisors, whose sum is σ = 371532470400. Its totient is φ = 25769829888.

The previous prime is 103552032121. The next prime is 103552032251. The reversal of 103552032240 is 42230255301.

It is a happy number.

103552032240 is a `hidden beast` number, since 103 + 5 + 520 + 32 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×103552032240³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860071 + ... + 973049.

It is an arithmetic number, because the mean of its divisors is an integer number (1548051960).

Almost surely, 2^103552032240 is an apocalyptic number.

103552032240 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 103552032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185766235200).

103552032240 is an abundant number, since it is smaller than the sum of its proper divisors (267980438160).

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

103552032240 is a wasteful number, since it uses less digits than its factorization.

103552032240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113084 (or 113075 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 103552032240 its reverse (42230255301), we get a palindrome (145782287541).

The spelling of 103552032240 in words is "one hundred three billion, five hundred fifty-two million, thirty-two thousand, two hundred forty".