10032434120 has 32 divisors (see below), whose sum is σ = 22780078200. Its totient is φ = 3976155648.

The previous prime is 10032434099. The next prime is 10032434143. The reversal of 10032434120 is 2143423001.

It can be written as a sum of positive squares in 4 ways, for example, as 9848180644 + 184253476 = 99238^2 + 13574^2 .

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 = 10032434092 and 10032434101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1146149 + ... + 1154868.

Almost surely, 2^10032434120 is an apocalyptic number.

10032434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032434120 is an abundant number, since it is smaller than the sum of its proper divisors (12747644080).

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

10032434120 is a wasteful number, since it uses less digits than its factorization.

10032434120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301137 (or 2301133 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10032434120 its reverse (2143423001), we get a palindrome (12175857121).

The spelling of 10032434120 in words is "ten billion, thirty-two million, four hundred thirty-four thousand, one hundred twenty".