103032612300 has 288 divisors, whose sum is σ = 327354048000. Its totient is φ = 24904355840.

The previous prime is 103032612299. The next prime is 103032612307. The reversal of 103032612300 is 3216230301.

It is a super-2 number, since 2×103032612300² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103032612307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88591519 + ... + 88592681.

It is an arithmetic number, because the mean of its divisors is an integer number (1136646000).

Almost surely, 2^103032612300 is an apocalyptic number.

103032612300 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 103032612300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163677024000).

103032612300 is an abundant number, since it is smaller than the sum of its proper divisors (224321435700).

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

103032612300 is a wasteful number, since it uses less digits than its factorization.

103032612300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103032612300 its reverse (3216230301), we get a palindrome (106248842601).

The spelling of 103032612300 in words is "one hundred three billion, thirty-two million, six hundred twelve thousand, three hundred".