1990052100 has 81 divisors (see below), whose sum is σ = 6241905397. Its totient is φ = 530323680.

The previous prime is 1990052093. The next prime is 1990052117. The reversal of 1990052100 is 12500991.

It is a happy number.

The square root of 1990052100 is 44610.

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., 716418756 + 1273633344 = 26766^2 + 35688^2 .

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, 1337557 + ... + 1339043.

Almost surely, 2^1990052100 is an apocalyptic number.

1990052100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1990052100 is the 44610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990052100

1990052100 is an abundant number, since it is smaller than the sum of its proper divisors (4251853297).

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

1990052100 is a wasteful number, since it uses less digits than its factorization.

1990052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2994 (or 1497 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The cubic root of 1990052100 is about 1257.8286487825.

The spelling of 1990052100 in words is "one billion, nine hundred ninety million, fifty-two thousand, one hundred".