103210432420 has 96 divisors (see below), whose sum is σ = 227610401760. Its totient is φ = 39277117440.

The previous prime is 103210432349. The next prime is 103210432421. The reversal of 103210432420 is 24234012301.

It can be written as a sum of positive squares in 16 ways, for example, as 71870103396 + 31340329024 = 268086^2 + 177032^2 .

It is a junction number, because it is equal to n+sod(n) for n = 103210432391 and 103210432400.

It is not an unprimeable number, because it can be changed into a prime (103210432421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5317854 + ... + 5337226.

It is an arithmetic number, because the mean of its divisors is an integer number (2370941685).

Almost surely, 2^103210432420 is an apocalyptic number.

103210432420 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 103210432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113805200880).

103210432420 is an abundant number, since it is smaller than the sum of its proper divisors (124399969340).

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

103210432420 is a wasteful number, since it uses less digits than its factorization.

103210432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19585 (or 19583 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 103210432420 its reverse (24234012301), we get a palindrome (127444444721).

The spelling of 103210432420 in words is "one hundred three billion, two hundred ten million, four hundred thirty-two thousand, four hundred twenty".