103632312330 has 128 divisors (see below), whose sum is σ = 293256806400. Its totient is φ = 25985627712.

The previous prime is 103632312323. The next prime is 103632312337. The reversal of 103632312330 is 33213236301.

It is a happy number.

103632312330 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 323 + 1 + 2 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (103632312323) and next prime (103632312337).

It is a super-3 number, since 3×103632312330³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 103632312294 and 103632312303.

It is not an unprimeable number, because it can be changed into a prime (103632312337) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224967 + ... + 507813.

It is an arithmetic number, because the mean of its divisors is an integer number (2291068800).

Almost surely, 2^103632312330 is an apocalyptic number.

103632312330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103632312330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146628403200).

103632312330 is an abundant number, since it is smaller than the sum of its proper divisors (189624494070).

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

103632312330 is a wasteful number, since it uses less digits than its factorization.

103632312330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282945 (or 282939 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103632312330 its reverse (33213236301), we get a palindrome (136845548631).

The spelling of 103632312330 in words is "one hundred three billion, six hundred thirty-two million, three hundred twelve thousand, three hundred thirty".