1005101712 has 60 divisors (see below), whose sum is σ = 2815216144. Its totient is φ = 334756800.

The previous prime is 1005101609. The next prime is 1005101717. The reversal of 1005101712 is 2171015001.

It is a happy number.

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 (1005101717) 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, 246087 + ... + 250137.

Almost surely, 2^1005101712 is an apocalyptic number.

1005101712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005101712 is an abundant number, since it is smaller than the sum of its proper divisors (1810114432).

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

1005101712 is a wasteful number, since it uses less digits than its factorization.

1005101712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 1005101712 is about 31703.3391301295. The cubic root of 1005101712 is about 1001.6976868949.

Adding to 1005101712 its reverse (2171015001), we get a palindrome (3176116713).

The spelling of 1005101712 in words is "one billion, five million, one hundred one thousand, seven hundred twelve".