101038 has 12 divisors (see below), whose sum is σ = 176472. Its totient is φ = 43260.

The previous prime is 101027. The next prime is 101051. The reversal of 101038 is 830101.

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 418 + ... + 613.

It is an arithmetic number, because the mean of its divisors is an integer number (14706).

2¹⁰¹⁰³⁸ is an apocalyptic number.

101038 is a deficient number, since it is larger than the sum of its proper divisors (75434).

101038 is a wasteful number, since it uses less digits than its factorization.

101038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 101038 is about 317.8647511128. The cubic root of 101038 is about 46.5759348197.

Subtracting from 101038 its sum of digits (13), we obtain a triangular number (101025 = T₄₄₉).

Adding to 101038 its reverse (830101), we get a palindrome (931139).

The spelling of 101038 in words is "one hundred one thousand, thirty-eight".