105005150 has 24 divisors (see below), whose sum is σ = 197111640. Its totient is φ = 41614560.

The previous prime is 105005129. The next prime is 105005167. The reversal of 105005150 is 51500501.

It is a super-2 number, since 2×105005150² = 22052163053045000, 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 11 ways as a sum of consecutive naturals, for example, 4184 + ... + 15083.

It is an arithmetic number, because the mean of its divisors is an integer number (8212985).

Almost surely, 2^105005150 is an apocalyptic number.

105005150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005150 is a deficient number, since it is larger than the sum of its proper divisors (92106490).

105005150 is a wasteful number, since it uses less digits than its factorization.

105005150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19388 (or 19383 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 105005150 is about 10247.2020571471. The cubic root of 105005150 is about 471.7771109608. Note that the first 3 decimals are identical.

Adding to 105005150 its reverse (51500501), we get a palindrome (156505651).

The spelling of 105005150 in words is "one hundred five million, five thousand, one hundred fifty".