1005101006 has 32 divisors (see below), whose sum is σ = 1898738688. Its totient is φ = 388372320.

The previous prime is 1005100997. The next prime is 1005101039. The reversal of 1005101006 is 6001015001.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a Curzon number.

It is a congruent number.

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, 56390 + ... + 72041.

It is an arithmetic number, because the mean of its divisors is an integer number (59335584).

Almost surely, 2^1005101006 is an apocalyptic number.

1005101006 is a deficient number, since it is larger than the sum of its proper divisors (893637682).

1005101006 is a wasteful number, since it uses less digits than its factorization.

1005101006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128496.

The product of its (nonzero) digits is 30, while the sum is 14.

The square root of 1005101006 is about 31703.3279956537. The cubic root of 1005101006 is about 1001.6974523585.

Adding to 1005101006 its reverse (6001015001), we get a palindrome (7006116007).

The spelling of 1005101006 in words is "one billion, five million, one hundred one thousand, six".