150105312 has 120 divisors (see below), whose sum is σ = 504581616. Its totient is φ = 42882048.

The previous prime is 150105311. The next prime is 150105313. The reversal of 150105312 is 213501051.

It is an interprime number because it is at equal distance from previous prime (150105311) and next prime (150105313).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150105311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14008 + ... + 22280.

Almost surely, 2^150105312 is an apocalyptic number.

150105312 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 150105312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252290808).

150105312 is an abundant number, since it is smaller than the sum of its proper divisors (354476304).

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

150105312 is an equidigital number, since it uses as much as digits as its factorization.

150105312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8302 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 150105312 is about 12251.7473039563. The cubic root of 150105312 is about 531.4536007239.

Adding to 150105312 its reverse (213501051), we get a palindrome (363606363).

The spelling of 150105312 in words is "one hundred fifty million, one hundred five thousand, three hundred twelve".