1005106000 has 40 divisors (see below), whose sum is σ = 2430351144. Its totient is φ = 402041600.

The previous prime is 1005105991. The next prime is 1005106007. The reversal of 1005106000 is 6015001.

It can be written as a sum of positive squares in 4 ways, for example, as 11343424 + 993762576 = 3368^2 + 31524^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005106007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249277 + ... + 253276.

Almost surely, 2^1005106000 is an apocalyptic number.

1005106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005106000 is an abundant number, since it is smaller than the sum of its proper divisors (1425245144).

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

1005106000 is an equidigital number, since it uses as much as digits as its factorization.

1005106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502576 (or 502560 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 1005106000 is about 31703.4067570033. The cubic root of 1005106000 is about 1001.6991113854.

Subtracting from 1005106000 its reverse (6015001), we obtain a palindrome (999090999).

The spelling of 1005106000 in words is "one billion, five million, one hundred six thousand".