1005742206 has 144 divisors (see below), whose sum is σ = 2650152960. Its totient is φ = 269961120.

The previous prime is 1005742201. The next prime is 1005742211. The reversal of 1005742206 is 6022475001.

It is an interprime number because it is at equal distance from previous prime (1005742201) and next prime (1005742211).

It is a self number, because there is not a number n which added to its sum of digits gives 1005742206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005742201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5265571 + ... + 5265761.

It is an arithmetic number, because the mean of its divisors is an integer number (18403840).

Almost surely, 2^1005742206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005742206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325076480).

1005742206 is an abundant number, since it is smaller than the sum of its proper divisors (1644410754).

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

1005742206 is a wasteful number, since it uses less digits than its factorization.

1005742206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1005742206 is about 31713.4388863775. The cubic root of 1005742206 is about 1001.9104166507.

The spelling of 1005742206 in words is "one billion, five million, seven hundred forty-two thousand, two hundred six".