103232213120 has 64 divisors (see below), whose sum is σ = 249233126040. Its totient is φ = 40884019200.

The previous prime is 103232213111. The next prime is 103232213131. The reversal of 103232213120 is 21312232301.

103232213120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 103061545024 + 170668096 = 321032^2 + 13064^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 103232213092 and 103232213101.

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 7 ways as a sum of consecutive naturals, for example, 733877 + ... + 863156.

Almost surely, 2^103232213120 is an apocalyptic number.

103232213120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103232213120 is an abundant number, since it is smaller than the sum of its proper divisors (146000912920).

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

103232213120 is a wasteful number, since it uses less digits than its factorization.

103232213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1597153 (or 1597141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 103232213120 its reverse (21312232301), we get a palindrome (124544445421).

The spelling of 103232213120 in words is "one hundred three billion, two hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".