1600800100 has 27 divisors (see below), whose sum is σ = 3474604651. Its totient is φ = 640160000.

The previous prime is 1600800073. The next prime is 1600800101. The reversal of 1600800100 is 10080061.

The square root of 1600800100 is 40010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 705114916 + 895685184 = 26554^2 + 29928^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1600800101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 398100 + ... + 402100.

Almost surely, 2^1600800100 is an apocalyptic number.

1600800100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1600800100 is the 40010-th square number.

It is an amenable number.

1600800100 is an abundant number, since it is smaller than the sum of its proper divisors (1873804551).

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

1600800100 is an frugal number, since it uses more digits than its factorization.

1600800100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8016 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

The cubic root of 1600800100 is about 1169.8020216797.

Multiplying 1600800100 by its sum of digits (16), we get a square (25612801600 = 160040²).

Adding to 1600800100 its reverse (10080061), we get a palindrome (1610880161).

The spelling of 1600800100 in words is "one billion, six hundred million, eight hundred thousand, one hundred".