100209150 has 120 divisors (see below), whose sum is σ = 282225240. Its totient is φ = 26360640.

The previous prime is 100209149. The next prime is 100209157. The reversal of 100209150 is 51902001.

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 (100209157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 441337 + ... + 441563.

It is an arithmetic number, because the mean of its divisors is an integer number (2351877).

Almost surely, 2^100209150 is an apocalyptic number.

100209150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100209150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141112620).

100209150 is an abundant number, since it is smaller than the sum of its proper divisors (182016090).

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

100209150 is a wasteful number, since it uses less digits than its factorization.

100209150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 100209150 is about 10010.4520377453. The cubic root of 100209150 is about 464.4822541241.

The spelling of 100209150 in words is "one hundred million, two hundred nine thousand, one hundred fifty".