10133838 has 96 divisors (see below), whose sum is σ = 26836992. Its totient is φ = 2721600.

The previous prime is 10133833. The next prime is 10133843. The reversal of 10133838 is 83833101.

It is an interprime number because it is at equal distance from previous prime (10133833) and next prime (10133843).

It is a super-2 number, since 2×10133838² = 205389345220488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133831) 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, 79731 + ... + 79857.

It is an arithmetic number, because the mean of its divisors is an integer number (279552).

Almost surely, 2^10133838 is an apocalyptic number.

10133838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10133838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13418496).

10133838 is an abundant number, since it is smaller than the sum of its proper divisors (16703154).

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

10133838 is a wasteful number, since it uses less digits than its factorization.

10133838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10133838 is about 3183.3689701321. The cubic root of 10133838 is about 216.4003634212.

Adding to 10133838 its reverse (83833101), we get a palindrome (93966939).

It can be divided in two parts, 1013 and 3838, that added together give a triangular number (4851 = T₉₈).

The spelling of 10133838 in words is "ten million, one hundred thirty-three thousand, eight hundred thirty-eight".