105169152 has 144 divisors (see below), whose sum is σ = 311996160. Its totient is φ = 31180800.

The previous prime is 105169139. The next prime is 105169159. The reversal of 105169152 is 251961501.

It is a super-2 number, since 2×105169152² = 22121101064798208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105169159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 498327 + ... + 498537.

It is an arithmetic number, because the mean of its divisors is an integer number (2166640).

Almost surely, 2^105169152 is an apocalyptic number.

105169152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105169152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155998080).

105169152 is an abundant number, since it is smaller than the sum of its proper divisors (206827008).

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

105169152 is a wasteful number, since it uses less digits than its factorization.

105169152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 30.

The square root of 105169152 is about 10255.2012169435. The cubic root of 105169152 is about 472.0225977881.

The spelling of 105169152 in words is "one hundred five million, one hundred sixty-nine thousand, one hundred fifty-two".