105150144 has 56 divisors (see below), whose sum is σ = 303507648. Its totient is φ = 31863040.

The previous prime is 105150131. The next prime is 105150169. The reversal of 105150144 is 441051501.

It is a super-2 number, since 2×105150144² = 22113105566441472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105150144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22782 + ... + 27005.

Almost surely, 2^105150144 is an apocalyptic number.

It is an amenable number.

105150144 is an abundant number, since it is smaller than the sum of its proper divisors (198357504).

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

105150144 is a wasteful number, since it uses less digits than its factorization.

105150144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49813 (or 49803 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 105150144 is about 10254.2744258187. The cubic root of 105150144 is about 471.9941586943.

The spelling of 105150144 in words is "one hundred five million, one hundred fifty thousand, one hundred forty-four".