105938350 has 24 divisors (see below), whose sum is σ = 225195408. Its totient is φ = 36321600.

The previous prime is 105938333. The next prime is 105938351. The reversal of 105938350 is 53839501.

It is a super-2 number, since 2×105938350² = 22445868001445000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105938351) 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, 150991 + ... + 151690.

It is an arithmetic number, because the mean of its divisors is an integer number (9383142).

Almost surely, 2^105938350 is an apocalyptic number.

105938350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105938350 is an abundant number, since it is smaller than the sum of its proper divisors (119257058).

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

105938350 is a wasteful number, since it uses less digits than its factorization.

105938350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302700 (or 302695 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 105938350 is about 10292.6357168609. The cubic root of 105938350 is about 473.1705809337.

The spelling of 105938350 in words is "one hundred five million, nine hundred thirty-eight thousand, three hundred fifty".