1681820100 has 81 divisors (see below), whose sum is σ = 5275430797. Its totient is φ = 448157280.

The previous prime is 1681820033. The next prime is 1681820111. The reversal of 1681820100 is 10281861.

The square root of 1681820100 is 41010.

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

It can be written as a sum of positive squares in only one way, i.e., 605455236 + 1076364864 = 24606^2 + 32808^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1229617 + ... + 1230983.

Almost surely, 2^1681820100 is an apocalyptic number.

1681820100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1681820100 is the 41010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1681820100

1681820100 is an abundant number, since it is smaller than the sum of its proper divisors (3593610697).

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

1681820100 is a wasteful number, since it uses less digits than its factorization.

1681820100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2754 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The cubic root of 1681820100 is about 1189.2135424490.

The spelling of 1681820100 in words is "one billion, six hundred eighty-one million, eight hundred twenty thousand, one hundred".