103580612352 has 756 divisors, whose sum is σ = 369804780576. Its totient is φ = 28844605440.

The previous prime is 103580612351. The next prime is 103580612413. The reversal of 103580612352 is 253216085301.

103580612352 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 8 + 0 + 612 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-3 number, since 3×103580612352³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103580612351) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 429794952 + ... + 429795192.

Almost surely, 2^103580612352 is an apocalyptic number.

103580612352 is a gapful number since it is divisible by the number (12) 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 103580612352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184902390288).

103580612352 is an abundant number, since it is smaller than the sum of its proper divisors (266224168224).

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

103580612352 is an frugal number, since it uses more digits than its factorization.

103580612352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 103580612352 its reverse (253216085301), we get a palindrome (356796697653).

The spelling of 103580612352 in words is "one hundred three billion, five hundred eighty million, six hundred twelve thousand, three hundred fifty-two".