106416205 has 16 divisors (see below), whose sum is σ = 146211840. Its totient is φ = 72836352.

The previous prime is 106416179. The next prime is 106416227. The reversal of 106416205 is 502614601.

It is a cyclic number.

It is not a de Polignac number, because 106416205 - 2⁵ = 106416173 is a prime.

It is a super-2 number, since 2×106416205² = 22648817373204050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106416205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18741 + ... + 23749.

It is an arithmetic number, because the mean of its divisors is an integer number (9138240).

Almost surely, 2^106416205 is an apocalyptic number.

It is an amenable number.

106416205 is a deficient number, since it is larger than the sum of its proper divisors (39795635).

106416205 is an equidigital number, since it uses as much as digits as its factorization.

106416205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5628.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 106416205 is about 10315.8230403589. The cubic root of 106416205 is about 473.8809557611.

The spelling of 106416205 in words is "one hundred six million, four hundred sixteen thousand, two hundred five".