106165152 has 72 divisors (see below), whose sum is σ = 302948100. Its totient is φ = 35266560.

The previous prime is 106165123. The next prime is 106165159. The reversal of 106165152 is 251561601.

It is a happy number.

106165152 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 651 + 5 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105760656 + 404496 = 10284^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×106165152² = 22542078998366208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106165159) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 128902 + ... + 129722.

Almost surely, 2^106165152 is an apocalyptic number.

106165152 is a gapful number since it is divisible by the number (12) 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 106165152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151474050).

106165152 is an abundant number, since it is smaller than the sum of its proper divisors (196782948).

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

106165152 is a wasteful number, since it uses less digits than its factorization.

106165152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1275 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106165152 is about 10303.6475094988. The cubic root of 106165152 is about 473.5080084446.

The spelling of 106165152 in words is "one hundred six million, one hundred sixty-five thousand, one hundred fifty-two".