150080100 has 72 divisors (see below), whose sum is σ = 442471680. Its totient is φ = 39262080.

The previous prime is 150080093. The next prime is 150080111. The reversal of 150080100 is 1080051.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 150080100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11181 + ... + 20619.

It is an arithmetic number, because the mean of its divisors is an integer number (6145440).

Almost surely, 2^150080100 is an apocalyptic number.

150080100 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 150080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221235840).

150080100 is an abundant number, since it is smaller than the sum of its proper divisors (292391580).

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

150080100 is a wasteful number, since it uses less digits than its factorization.

150080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9509 (or 9502 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 150080100 is about 12250.7183462848. The cubic root of 150080100 is about 531.4238443743.

The spelling of 150080100 in words is "one hundred fifty million, eighty thousand, one hundred".