1005105506124 has 96 divisors (see below), whose sum is σ = 2554524000000. Its totient is φ = 306370826496.

The previous prime is 1005105506087. The next prime is 1005105506161. The reversal of 1005105506124 is 4216055015001.

1005105506124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1005105506087) and next prime (1005105506161).

It is a junction number, because it is equal to n+sod(n) for n = 1005105506091 and 1005105506100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25919502 + ... + 25958250.

It is an arithmetic number, because the mean of its divisors is an integer number (26609625000).

Almost surely, 2^{1005105506124} 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 1005105506124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277262000000).

1005105506124 is an abundant number, since it is smaller than the sum of its proper divisors (1549418493876).

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

1005105506124 is a wasteful number, since it uses less digits than its factorization.

1005105506124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42727 (or 42725 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The spelling of 1005105506124 in words is "one trillion, five billion, one hundred five million, five hundred six thousand, one hundred twenty-four".