105938646 has 48 divisors (see below), whose sum is σ = 234120432. Its totient is φ = 31933440.

The previous prime is 105938641. The next prime is 105938663. The reversal of 105938646 is 646839501.

It is a super-2 number, since 2×105938646² = 22445993432626632, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105938598 and 105938607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105938641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244446 + ... + 244878.

It is an arithmetic number, because the mean of its divisors is an integer number (4877509).

Almost surely, 2^105938646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105938646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117060216).

105938646 is an abundant number, since it is smaller than the sum of its proper divisors (128181786).

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

105938646 is a wasteful number, since it uses less digits than its factorization.

105938646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 105938646 is about 10292.6500960637. The cubic root of 105938646 is about 473.1710216252.

The spelling of 105938646 in words is "one hundred five million, nine hundred thirty-eight thousand, six hundred forty-six".