1980971100 has 144 divisors (see below), whose sum is σ = 6406777440. Its totient is φ = 525081600.

The previous prime is 1980971099. The next prime is 1980971159. The reversal of 1980971100 is 11790891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464980 + ... + 469220.

It is an arithmetic number, because the mean of its divisors is an integer number (44491510).

Almost surely, 2^1980971100 is an apocalyptic number.

1980971100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1980971100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3203388720).

1980971100 is an abundant number, since it is smaller than the sum of its proper divisors (4425806340).

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

1980971100 is a wasteful number, since it uses less digits than its factorization.

1980971100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4424 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 36.

The square root of 1980971100 is about 44508.1015097252. The cubic root of 1980971100 is about 1255.9124911985.

It can be divided in two parts, 19809 and 71100, that added together give a palindrome (90909).

The spelling of 1980971100 in words is "one billion, nine hundred eighty million, nine hundred seventy-one thousand, one hundred".