1831680100 has 36 divisors (see below), whose sum is σ = 4015743844. Its totient is φ = 725114880.

The previous prime is 1831680089. The next prime is 1831680101. The reversal of 1831680100 is 10861381.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 24920064 + 1806760036 = 4992^2 + 42506^2 .

It is not an unprimeable number, because it can be changed into a prime (1831680101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84717 + ... + 104116.

Almost surely, 2^1831680100 is an apocalyptic number.

1831680100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1831680100 is an abundant number, since it is smaller than the sum of its proper divisors (2184063744).

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

1831680100 is a wasteful number, since it uses less digits than its factorization.

1831680100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188944 (or 188937 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1831680100 is about 42798.1319685801. The cubic root of 1831680100 is about 1223.5354091728.

The spelling of 1831680100 in words is "one billion, eight hundred thirty-one million, six hundred eighty thousand, one hundred".