103621613120 has 28 divisors (see below), whose sum is σ = 246748967004. Its totient is φ = 41448645120.

The previous prime is 103621613107. The next prime is 103621613149. The reversal of 103621613120 is 21316126301.

It can be written as a sum of positive squares in 2 ways, for example, as 22131917824 + 81489695296 = 148768^2 + 285464^2 .

It is a super-3 number, since 3×103621613120³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103621613120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161908451 + ... + 161909090.

Almost surely, 2^103621613120 is an apocalyptic number.

103621613120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103621613120 is an abundant number, since it is smaller than the sum of its proper divisors (143127353884).

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

103621613120 is an equidigital number, since it uses as much as digits as its factorization.

103621613120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323817558 (or 323817548 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 103621613120 its reverse (21316126301), we get a palindrome (124937739421).

The spelling of 103621613120 in words is "one hundred three billion, six hundred twenty-one million, six hundred thirteen thousand, one hundred twenty".