1600100001 has 40 divisors (see below), whose sum is σ = 2453124960. Its totient is φ = 1039022208.

The previous prime is 1600099997. The next prime is 1600100003. The reversal of 1600100001 is 1000010061.

It is not a de Polignac number, because 1600100001 - 2² = 1600099997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1600100003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 538546 + ... + 541508.

It is an arithmetic number, because the mean of its divisors is an integer number (61328124).

Almost surely, 2^1600100001 is an apocalyptic number.

1600100001 is the 20001-st decagonal number.

It is an amenable number.

1600100001 is a deficient number, since it is larger than the sum of its proper divisors (853024959).

1600100001 is a wasteful number, since it uses less digits than its factorization.

1600100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3138 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1600100001 is about 40001.2499929690. The cubic root of 1600100001 is about 1169.6314618357.

Adding to 1600100001 its reverse (1000010061), we get a palindrome (2600110062).

The spelling of 1600100001 in words is "one billion, six hundred million, one hundred thousand, one".