150105032 has 64 divisors (see below), whose sum is σ = 358128000. Its totient is φ = 58470720.

The previous prime is 150105013. The next prime is 150105037. The reversal of 150105032 is 230501051.

150105032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 150105032.

It is not an unprimeable number, because it can be changed into a prime (150105037) 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, 27698 + ... + 32670.

It is an arithmetic number, because the mean of its divisors is an integer number (5595750).

Almost surely, 2^150105032 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 150105032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179064000).

150105032 is an abundant number, since it is smaller than the sum of its proper divisors (208022968).

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

150105032 is a wasteful number, since it uses less digits than its factorization.

150105032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5011 (or 4993 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 150105032 is about 12251.7358770094. The cubic root of 150105032 is about 531.4532702735.

Adding to 150105032 its reverse (230501051), we get a palindrome (380606083).

The spelling of 150105032 in words is "one hundred fifty million, one hundred five thousand, thirty-two".