161527104 has 84 divisors (see below), whose sum is σ = 465707476. Its totient is φ = 53526528.

The previous prime is 161527097. The next prime is 161527123. The reversal of 161527104 is 401725161.

It is a happy number.

161527104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 108993600 + 52533504 = 10440^2 + 7248^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110442 + ... + 111894.

Almost surely, 2^161527104 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 161527104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232853738).

161527104 is an abundant number, since it is smaller than the sum of its proper divisors (304180372).

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

161527104 is a wasteful number, since it uses less digits than its factorization.

161527104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 161527104 is about 12709.3313750173. The cubic root of 161527104 is about 544.6052231842.

The spelling of 161527104 in words is "one hundred sixty-one million, five hundred twenty-seven thousand, one hundred four".