1005101000 has 32 divisors (see below), whose sum is σ = 2351938680. Its totient is φ = 402040000.

The previous prime is 1005100997. The next prime is 1005101039. The reversal of 1005101000 is 1015001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 158407396 + 846693604 = 12586^2 + 29098^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 501551 + ... + 503550.

Almost surely, 2^1005101000 is an apocalyptic number.

1005101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005101000 is an abundant number, since it is smaller than the sum of its proper divisors (1346837680).

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

1005101000 is a wasteful number, since it uses less digits than its factorization.

1005101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005122 (or 1005108 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 8.

The square root of 1005101000 is about 31703.3279010264. The cubic root of 1005101000 is about 1001.6974503653.

Adding to 1005101000 its reverse (1015001), we get a palindrome (1006116001).

The spelling of 1005101000 in words is "one billion, five million, one hundred one thousand".