105132012 has 48 divisors (see below), whose sum is σ = 261015552. Its totient is φ = 32820480.

The previous prime is 105131993. The next prime is 105132017. The reversal of 105132012 is 210231501.

It is a super-2 number, since 2×105132012² = 22105479894336288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105131982 and 105132000.

It is not an unprimeable number, because it can be changed into a prime (105132017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44337 + ... + 46647.

It is an arithmetic number, because the mean of its divisors is an integer number (5437824).

Almost surely, 2^105132012 is an apocalyptic number.

105132012 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 105132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130507776).

105132012 is an abundant number, since it is smaller than the sum of its proper divisors (155883540).

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

105132012 is a wasteful number, since it uses less digits than its factorization.

105132012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2556 counting only the distinct ones).

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

The square root of 105132012 is about 10253.3902685892. The cubic root of 105132012 is about 471.9670270464.

Adding to 105132012 its reverse (210231501), we get a palindrome (315363513).

The spelling of 105132012 in words is "one hundred five million, one hundred thirty-two thousand, twelve".