105009150 has 48 divisors (see below), whose sum is σ = 261376128. Its totient is φ = 27900000.

The previous prime is 105009133. The next prime is 105009161. The reversal of 105009150 is 51900501.

It is a happy number.

It is a super-2 number, since 2×105009150² = 22053843167445000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 45525 + ... + 47775.

It is an arithmetic number, because the mean of its divisors is an integer number (5445336).

Almost surely, 2^105009150 is an apocalyptic number.

105009150 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 105009150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130688064).

105009150 is an abundant number, since it is smaller than the sum of its proper divisors (156366978).

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

105009150 is a wasteful number, since it uses less digits than its factorization.

105009150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2572 counting only the distinct ones).

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

The square root of 105009150 is about 10247.3972305166. The cubic root of 105009150 is about 471.7831014114.

Adding to 105009150 its reverse (51900501), we get a palindrome (156909651).

The spelling of 105009150 in words is "one hundred five million, nine thousand, one hundred fifty".