106706205 has 24 divisors (see below), whose sum is σ = 185611608. Its totient is φ = 56708736.

The previous prime is 106706189. The next prime is 106706213. The reversal of 106706205 is 502607601.

It can be written as a sum of positive squares in 4 ways, for example, as 30702681 + 76003524 = 5541^2 + 8718^2 .

It is not a de Polignac number, because 106706205 - 2⁴ = 106706189 is a prime.

It is a super-2 number, since 2×106706205² = 22772428371004050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9139 + ... + 17231.

It is an arithmetic number, because the mean of its divisors is an integer number (7733817).

Almost surely, 2^106706205 is an apocalyptic number.

106706205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106706205 is a deficient number, since it is larger than the sum of its proper divisors (78905403).

106706205 is a wasteful number, since it uses less digits than its factorization.

106706205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8394 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106706205 is about 10329.8695538714. The cubic root of 106706205 is about 474.3110307072.

The spelling of 106706205 in words is "one hundred six million, seven hundred six thousand, two hundred five".