100005150 has 192 divisors, whose sum is σ = 305980416. Its totient is φ = 21120000.

The previous prime is 100005149. The next prime is 100005193. The reversal of 100005150 is 51500001.

It is a Curzon number.

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, 990100 + ... + 990200.

It is an arithmetic number, because the mean of its divisors is an integer number (1593648).

Almost surely, 2^100005150 is an apocalyptic number.

100005150 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 100005150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

100005150 is an abundant number, since it is smaller than the sum of its proper divisors (205975266).

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

100005150 is a wasteful number, since it uses less digits than its factorization.

100005150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 100005150 is about 10000.2574966848. The cubic root of 100005150 is about 464.1668512853.

100005150 divided by its product of nonzero digits (25) gives a triangular number (4000206 = T₂₈₂₈).

Adding to 100005150 its reverse (51500001), we get a palindrome (151505151).

The spelling of 100005150 in words is "one hundred million, five thousand, one hundred fifty".