105105150 has 108 divisors (see below), whose sum is σ = 298487592. Its totient is φ = 26511840.

The previous prime is 105105109. The next prime is 105105163. The reversal of 105105150 is 51501501.

105105150 is a `hidden beast` number, since 1 + 0 + 510 + 5 + 150 = 666.

It is a super-2 number, since 2×105105150² = 22094185113045000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 162127 + ... + 162773.

It is an arithmetic number, because the mean of its divisors is an integer number (2763774).

Almost surely, 2^105105150 is an apocalyptic number.

105105150 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 105105150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149243796).

105105150 is an abundant number, since it is smaller than the sum of its proper divisors (193382442).

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

105105150 is a wasteful number, since it uses less digits than its factorization.

105105150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105105150 is about 10252.0802767048. The cubic root of 105105150 is about 471.9268266103.

Adding to 105105150 its reverse (51501501), we get a palindrome (156606651).

The spelling of 105105150 in words is "one hundred five million, one hundred five thousand, one hundred fifty".