100195216 has 40 divisors (see below), whose sum is σ = 215388000. Its totient is φ = 44766720.

The previous prime is 100195187. The next prime is 100195241. The reversal of 100195216 is 612591001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5560 + ... + 15208.

It is an arithmetic number, because the mean of its divisors is an integer number (5384700).

Almost surely, 2^100195216 is an apocalyptic number.

100195216 is a gapful number since it is divisible by the number (16) 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 100195216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107694000).

100195216 is an abundant number, since it is smaller than the sum of its proper divisors (115192784).

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

100195216 is a wasteful number, since it uses less digits than its factorization.

100195216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9727 (or 9721 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The square root of 100195216 is about 10009.7560409832. The cubic root of 100195216 is about 464.4607245009.

The spelling of 100195216 in words is "one hundred million, one hundred ninety-five thousand, two hundred sixteen".