106938 has 24 divisors (see below), whose sum is σ = 250068. Its totient is φ = 32832.

The previous prime is 106937. The next prime is 106949. The reversal of 106938 is 839601.

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 9 = 327^2 + 3^2 .

It is a super-2 number, since 2×106938² = 22871471688, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106938.

It is not an unprimeable number, because it can be changed into a prime (106937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6 + ... + 462.

2¹⁰⁶⁹³⁸ is an apocalyptic number.

106938 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 106938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125034).

106938 is an abundant number, since it is smaller than the sum of its proper divisors (143130).

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

106938 is a wasteful number, since it uses less digits than its factorization.

106938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106938 is about 327.0137611783. The cubic root of 106938 is about 47.4654226659.

It can be divided in two parts, 10693 and 8, that added together give a palindrome (10701).

The spelling of 106938 in words is "one hundred six thousand, nine hundred thirty-eight".