106165404 has 60 divisors (see below), whose sum is σ = 287133000. Its totient is φ = 34165152.

The previous prime is 106165373. The next prime is 106165417. The reversal of 106165404 is 404561601.

106165404 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 654 + 0 + 4 = 666.

It is a super-2 number, since 2×106165404² = 22542186012966432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3747 + ... + 15045.

It is an arithmetic number, because the mean of its divisors is an integer number (4785550).

Almost surely, 2^106165404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106165404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143566500).

106165404 is an abundant number, since it is smaller than the sum of its proper divisors (180967596).

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

106165404 is a wasteful number, since it uses less digits than its factorization.

106165404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11344 (or 11333 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106165404 is about 10303.6597381707. The cubic root of 106165404 is about 473.5083830933.

The spelling of 106165404 in words is "one hundred six million, one hundred sixty-five thousand, four hundred four".