100509150 has 48 divisors (see below), whose sum is σ = 284874624. Its totient is φ = 22973280.

The previous prime is 100509137. The next prime is 100509193. The reversal of 100509150 is 51905001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46812 + ... + 48911.

It is an arithmetic number, because the mean of its divisors is an integer number (5934888).

Almost surely, 2^100509150 is an apocalyptic number.

100509150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100509150 is an abundant number, since it is smaller than the sum of its proper divisors (184365474).

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

100509150 is a wasteful number, since it uses less digits than its factorization.

100509150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95745 (or 95740 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 21.

The square root of 100509150 is about 10025.4251780161. The cubic root of 100509150 is about 464.9453051636.

The spelling of 100509150 in words is "one hundred million, five hundred nine thousand, one hundred fifty".