106938205 has 32 divisors (see below), whose sum is σ = 144967680. Its totient is φ = 75055680.

The previous prime is 106938193. The next prime is 106938253. The reversal of 106938205 is 502839601.

It is not a de Polignac number, because 106938205 - 2⁷ = 106938077 is a prime.

It is a super-2 number, since 2×106938205² = 22871559377244050, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243376 + ... + 243814.

It is an arithmetic number, because the mean of its divisors is an integer number (4530240).

Almost surely, 2^106938205 is an apocalyptic number.

It is an amenable number.

106938205 is a deficient number, since it is larger than the sum of its proper divisors (38029475).

106938205 is a wasteful number, since it uses less digits than its factorization.

106938205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601.

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 106938205 is about 10341.0930273352. The cubic root of 106938205 is about 474.6545299621.

The spelling of 106938205 in words is "one hundred six million, nine hundred thirty-eight thousand, two hundred five".