10032114 has 16 divisors (see below), whose sum is σ = 21120480. Its totient is φ = 3168000.

The previous prime is 10032089. The next prime is 10032119. The reversal of 10032114 is 41123001.

It is a happy number.

10032114 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×10032114⁴ (a number of 29 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10032114.

It is not an unprimeable number, because it can be changed into a prime (10032119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43887 + ... + 44114.

It is an arithmetic number, because the mean of its divisors is an integer number (1320030).

Almost surely, 2^10032114 is an apocalyptic number.

10032114 is an abundant number, since it is smaller than the sum of its proper divisors (11088366).

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

10032114 is a wasteful number, since it uses less digits than its factorization.

10032114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88025.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10032114 is about 3167.3512593333. The cubic root of 10032114 is about 215.6738476184.

Adding to 10032114 its reverse (41123001), we get a palindrome (51155115).

The spelling of 10032114 in words is "ten million, thirty-two thousand, one hundred fourteen".