150106320 has 480 divisors, whose sum is σ = 649958400. Its totient is φ = 30191616.

The previous prime is 150106279. The next prime is 150106337. The reversal of 150106320 is 23601051.

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

It is a junction number, because it is equal to n+sod(n) for n = 150106293 and 150106302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1900041 + ... + 1900119.

It is an arithmetic number, because the mean of its divisors is an integer number (1354080).

Almost surely, 2^150106320 is an apocalyptic number.

150106320 is a gapful number since it is divisible by the number (10) 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 150106320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324979200).

150106320 is an abundant number, since it is smaller than the sum of its proper divisors (499852080).

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

150106320 is a wasteful number, since it uses less digits than its factorization.

150106320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 150106320 is about 12251.7884408767. The cubic root of 150106320 is about 531.4547903421.

Adding to 150106320 its reverse (23601051), we get a palindrome (173707371).

It can be divided in two parts, 150106 and 320, that added together give a triangular number (150426 = T₅₄₈).

The spelling of 150106320 in words is "one hundred fifty million, one hundred six thousand, three hundred twenty".