1603996920100 has 81 divisors (see below), whose sum is σ = 3568793707801. Its totient is φ = 625747379200.

The previous prime is 1603996920079. The next prime is 1603996920101. The reversal of 1603996920100 is 10296993061.

The square root of 1603996920100 is 1266490.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1128239098596 + 475757821504 = 1062186^2 + 689752^2 .

It is a super-2 number, since 2×1603996920100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1603996920101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 519259356 + ... + 519262444.

Almost surely, 2^{1603996920100} is an apocalyptic number.

1603996920100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1603996920100 is the 1266490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1603996920100

1603996920100 is an abundant number, since it is smaller than the sum of its proper divisors (1964796787701).

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

1603996920100 is an frugal number, since it uses more digits than its factorization.

1603996920100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274 (or 3137 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 46.

The spelling of 1603996920100 in words is "one trillion, six hundred three billion, nine hundred ninety-six million, nine hundred twenty thousand, one hundred".