1005014106 has 24 divisors (see below), whose sum is σ = 2178181044. Its totient is φ = 334904640.

The previous prime is 1005014093. The next prime is 1005014107. The reversal of 1005014106 is 6014105001.

It can be written as a sum of positive squares in 2 ways, for example, as 1001152881 + 3861225 = 31641^2 + 1965^2 .

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 (1005014107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77446 + ... + 89486.

Almost surely, 2^1005014106 is an apocalyptic number.

1005014106 is an abundant number, since it is smaller than the sum of its proper divisors (1173166938).

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

1005014106 is a wasteful number, since it uses less digits than its factorization.

1005014106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16686 (or 16683 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1005014106 is about 31701.9574474511. The cubic root of 1005014106 is about 1001.6685829491.

Adding to 1005014106 its reverse (6014105001), we get a palindrome (7019119107).

The spelling of 1005014106 in words is "one billion, five million, fourteen thousand, one hundred six".