10032032142 has 64 divisors (see below), whose sum is σ = 24407032320. Its totient is φ = 3029140800.

The previous prime is 10032032119. The next prime is 10032032159. The reversal of 10032032142 is 24123023001.

It is a super-2 number, since 2×10032032142² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136863 + ... + 196965.

It is an arithmetic number, because the mean of its divisors is an integer number (381359880).

Almost surely, 2^10032032142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032032142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12203516160).

10032032142 is an abundant number, since it is smaller than the sum of its proper divisors (14375000178).

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

10032032142 is a wasteful number, since it uses less digits than its factorization.

10032032142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60406 (or 60400 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10032032142 its reverse (24123023001), we get a palindrome (34155055143).

The spelling of 10032032142 in words is "ten billion, thirty-two million, thirty-two thousand, one hundred forty-two".