106165440 has 168 divisors, whose sum is σ = 368978688. Its totient is φ = 28016640.

The previous prime is 106165427. The next prime is 106165457. The reversal of 106165440 is 44561601.

106165440 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 654 + 4 + 0 = 666.

It is a super-2 number, since 2×106165440² = 22542201300787200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549984 + ... + 550176.

Almost surely, 2^106165440 is an apocalyptic number.

106165440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184489344).

106165440 is an abundant number, since it is smaller than the sum of its proper divisors (262813248).

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

106165440 is a wasteful number, since it uses less digits than its factorization.

106165440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 394 counting only the distinct ones).

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

The square root of 106165440 is about 10303.6614851227. The cubic root of 106165440 is about 473.5084366145.

106165440 divided by its product of nonzero digits (2880) gives a palindrome (36863).

The spelling of 106165440 in words is "one hundred six million, one hundred sixty-five thousand, four hundred forty".