150106116600 has 384 divisors, whose sum is σ = 572468716800. Its totient is φ = 35845286400.

The previous prime is 150106116599. The next prime is 150106116619. The reversal of 150106116600 is 6611601051.

150106116600 is a `hidden beast` number, since 1 + 50 + 1 + 0 + 6 + 1 + 1 + 6 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3960942 + ... + 3998658.

It is an arithmetic number, because the mean of its divisors is an integer number (1490803950).

Almost surely, 2^150106116600 is an apocalyptic number.

150106116600 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 150106116600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286234358400).

150106116600 is an abundant number, since it is smaller than the sum of its proper divisors (422362600200).

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

150106116600 is a wasteful number, since it uses less digits than its factorization.

150106116600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37820 (or 37805 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

Adding to 150106116600 its reverse (6611601051), we get a palindrome (156717717651).

The spelling of 150106116600 in words is "one hundred fifty billion, one hundred six million, one hundred sixteen thousand, six hundred".