105012132 has 24 divisors (see below), whose sum is σ = 253478400. Its totient is φ = 33796896.

The previous prime is 105012121. The next prime is 105012139. The reversal of 105012132 is 231210501.

It is a super-2 number, since 2×105012132² = 22055095734370848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105012139) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150532 + ... + 151227.

It is an arithmetic number, because the mean of its divisors is an integer number (10561600).

Almost surely, 2^105012132 is an apocalyptic number.

105012132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105012132 is an abundant number, since it is smaller than the sum of its proper divisors (148466268).

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

105012132 is a wasteful number, since it uses less digits than its factorization.

105012132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301795 (or 301793 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105012132 is about 10247.5427298450. The cubic root of 105012132 is about 471.7875671933.

Adding to 105012132 its reverse (231210501), we get a palindrome (336222633).

The spelling of 105012132 in words is "one hundred five million, twelve thousand, one hundred thirty-two".