10138032 has 60 divisors (see below), whose sum is σ = 29615664. Its totient is φ = 3231360.

The previous prime is 10138027. The next prime is 10138043. The reversal of 10138032 is 23083101.

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

It is a junction number, because it is equal to n+sod(n) for n = 10137996 and 10138014.

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 11 ways as a sum of consecutive naturals, for example, 1782 + ... + 4842.

Almost surely, 2^10138032 is an apocalyptic number.

10138032 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 10138032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14807832).

10138032 is an abundant number, since it is smaller than the sum of its proper divisors (19477632).

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

10138032 is a wasteful number, since it uses less digits than its factorization.

10138032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3098 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10138032 is about 3184.0276380710. The cubic root of 10138032 is about 216.4302125251.

It can be divided in two parts, 1013 and 8032, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 10138032 in words is "ten million, one hundred thirty-eight thousand, thirty-two".