106165413 has 24 divisors (see below), whose sum is σ = 157528800. Its totient is φ = 68870880.

The previous prime is 106165373. The next prime is 106165417. The reversal of 106165413 is 314561601.

106165413 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 654 + 1 + 3 = 666.

It is not a de Polignac number, because 106165413 - 2¹³ = 106157221 is a prime.

It is a super-2 number, since 2×106165413² = 22542189834921138, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106165417) 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, 61638 + ... + 63336.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2^106165413 is an apocalyptic number.

It is an amenable number.

106165413 is a deficient number, since it is larger than the sum of its proper divisors (51363387).

106165413 is a wasteful number, since it uses less digits than its factorization.

106165413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 106165413 is about 10303.6601749087. The cubic root of 106165413 is about 473.5083964736.

The spelling of 106165413 in words is "one hundred six million, one hundred sixty-five thousand, four hundred thirteen".