165379104 has 96 divisors (see below), whose sum is σ = 526236480. Its totient is φ = 50112000.

The previous prime is 165379073. The next prime is 165379121. The reversal of 165379104 is 401973561.

165379104 is a `hidden beast` number, since 16 + 537 + 9 + 104 = 666.

165379104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 804 + ... + 18204.

It is an arithmetic number, because the mean of its divisors is an integer number (5481630).

Almost surely, 2^165379104 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 165379104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263118240).

165379104 is an abundant number, since it is smaller than the sum of its proper divisors (360857376).

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

165379104 is a wasteful number, since it uses less digits than its factorization.

165379104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17431 (or 17417 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 165379104 is about 12859.9807153821. The cubic root of 165379104 is about 548.9003969922.

The spelling of 165379104 in words is "one hundred sixty-five million, three hundred seventy-nine thousand, one hundred four".