1983125100 has 72 divisors (see below), whose sum is σ = 6259474368. Its totient is φ = 480756800.

The previous prime is 1983125083. The next prime is 1983125117. The reversal of 1983125100 is 15213891.

It is an interprime number because it is at equal distance from previous prime (1983125083) and next prime (1983125117).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297174 + ... + 303773.

It is an arithmetic number, because the mean of its divisors is an integer number (86937144).

Almost surely, 2^1983125100 is an apocalyptic number.

1983125100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1983125100 is an abundant number, since it is smaller than the sum of its proper divisors (4276349268).

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

1983125100 is a wasteful number, since it uses less digits than its factorization.

1983125100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600975 (or 600968 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1983125100 is about 44532.2927772645. The cubic root of 1983125100 is about 1256.3675299065.

Adding to 1983125100 its reverse (15213891), we get a palindrome (1998338991).

The spelling of 1983125100 in words is "one billion, nine hundred eighty-three million, one hundred twenty-five thousand, one hundred".