1993072100 has 18 divisors (see below), whose sum is σ = 4324966674. Its totient is φ = 797228800.

The previous prime is 1993072091. The next prime is 1993072157. The reversal of 1993072100 is 12703991.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10863616 + 1982208484 = 3296^2 + 44522^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9965261 + ... + 9965460.

Almost surely, 2^1993072100 is an apocalyptic number.

1993072100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1993072100 is an abundant number, since it is smaller than the sum of its proper divisors (2331894574).

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

1993072100 is a wasteful number, since it uses less digits than its factorization.

1993072100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19930735 (or 19930728 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 1993072100 is about 44643.8360806954. The cubic root of 1993072100 is about 1258.4645990669.

The spelling of 1993072100 in words is "one billion, nine hundred ninety-three million, seventy-two thousand, one hundred".