1005106542 has 16 divisors (see below), whose sum is σ = 2192959872. Its totient is φ = 304577720.

The previous prime is 1005106537. The next prime is 1005106547. The reversal of 1005106542 is 2456015001.

It is an interprime number because it is at equal distance from previous prime (1005106537) and next prime (1005106547).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005106547) 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 7 ways as a sum of consecutive naturals, for example, 7614378 + ... + 7614509.

It is an arithmetic number, because the mean of its divisors is an integer number (137059992).

Almost surely, 2^1005106542 is an apocalyptic number.

1005106542 is an abundant number, since it is smaller than the sum of its proper divisors (1187853330).

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

1005106542 is a wasteful number, since it uses less digits than its factorization.

1005106542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228903.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 1005106542 is about 31703.4153049794. The cubic root of 1005106542 is about 1001.6992914397.

The spelling of 1005106542 in words is "one billion, five million, one hundred six thousand, five hundred forty-two".