10042032 has 240 divisors, whose sum is σ = 36942080. Its totient is φ = 2280960.

The previous prime is 10042031. The next prime is 10042049. The reversal of 10042032 is 23024001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10041999 and 10042017.

It is not an unprimeable number, because it can be changed into a prime (10042031) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 528519 + ... + 528537.

Almost surely, 2^10042032 is an apocalyptic number.

10042032 is a gapful number since it is divisible by the number (12) 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 10042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18471040).

10042032 is an abundant number, since it is smaller than the sum of its proper divisors (26900048).

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

10042032 is a wasteful number, since it uses less digits than its factorization.

10042032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 10042032 is about 3168.9165340854. The cubic root of 10042032 is about 215.7448977380.

Adding to 10042032 its reverse (23024001), we get a palindrome (33066033).

The spelling of 10042032 in words is "ten million, forty-two thousand, thirty-two".