10138590 has 216 divisors, whose sum is σ = 35479080. Its totient is φ = 1995840.

The previous prime is 10138577. The next prime is 10138621. The reversal of 10138590 is 9583101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 533601 + ... + 533619.

It is an arithmetic number, because the mean of its divisors is an integer number (164255).

Almost surely, 2^10138590 is an apocalyptic number.

10138590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10138590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17739540).

10138590 is an abundant number, since it is smaller than the sum of its proper divisors (25340490).

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

10138590 is a wasteful number, since it uses less digits than its factorization.

10138590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10138590 is about 3184.1152617328. The cubic root of 10138590 is about 216.4341832445.

It can be divided in two parts, 101385 and 90, that added together give a triangular number (101475 = T₄₅₀).

The spelling of 10138590 in words is "ten million, one hundred thirty-eight thousand, five hundred ninety".