106169184 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 32169600.

The previous prime is 106169183. The next prime is 106169221. The reversal of 106169184 is 481961601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106169184² = 22543791262451712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106169183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3919 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (3519180).

Almost surely, 2^106169184 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 106169184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

106169184 is an abundant number, since it is smaller than the sum of its proper divisors (231672096).

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

106169184 is a wasteful number, since it uses less digits than its factorization.

106169184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11201 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106169184 is about 10303.8431665083. The cubic root of 106169184 is about 473.5140027534.

The spelling of 106169184 in words is "one hundred six million, one hundred sixty-nine thousand, one hundred eighty-four".