105040012 has 48 divisors (see below), whose sum is σ = 230243328. Its totient is φ = 40734720.

The previous prime is 105040007. The next prime is 105040051. The reversal of 105040012 is 210040501.

It is a super-2 number, since 2×105040012² = 22066808241920288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105039974 and 105040001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78493 + ... + 79819.

It is an arithmetic number, because the mean of its divisors is an integer number (4796736).

Almost surely, 2^105040012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105040012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115121664).

105040012 is an abundant number, since it is smaller than the sum of its proper divisors (125203316).

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

105040012 is a wasteful number, since it uses less digits than its factorization.

105040012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1606 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 105040012 is about 10248.9029656837. The cubic root of 105040012 is about 471.8293156187.

Adding to 105040012 its reverse (210040501), we get a palindrome (315080513).

The spelling of 105040012 in words is "one hundred five million, forty thousand, twelve".