1000505106 has 72 divisors (see below), whose sum is σ = 2282651280. Its totient is φ = 316679088.

The previous prime is 1000505101. The next prime is 1000505117. The reversal of 1000505106 is 6015050001.

1000505106 is a `hidden beast` number, since 100 + 0 + 50 + 510 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1000505101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1704145 + ... + 1704731.

It is an arithmetic number, because the mean of its divisors is an integer number (31703490).

Almost surely, 2^1000505106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000505106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1141325640).

1000505106 is an abundant number, since it is smaller than the sum of its proper divisors (1282146174).

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

1000505106 is a wasteful number, since it uses less digits than its factorization.

1000505106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1000505106 is about 31630.7620205394. The cubic root of 1000505106 is about 1000.1683403266.

Adding to 1000505106 its reverse (6015050001), we get a palindrome (7015555107).

The spelling of 1000505106 in words is "one billion, five hundred five thousand, one hundred six".