890399832100 has 81 divisors (see below), whose sum is σ = 1950126008817. Its totient is φ = 352879944480.

The previous prime is 890399832089. The next prime is 890399832107. The reversal of 890399832100 is 1238993098.

The square root of 890399832100 is 943610.

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., 320543939556 + 569855892544 = 566166^2 + 754888^2 .

It is a super-2 number, since 2×890399832100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890399832107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1198384329 + ... + 1198385071.

Almost surely, 2^890399832100 is an apocalyptic number.

890399832100 is the 943610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890399832100

890399832100 is an abundant number, since it is smaller than the sum of its proper divisors (1059726176717).

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

890399832100 is an equidigital number, since it uses as much as digits as its factorization.

890399832100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 52.

The spelling of 890399832100 in words is "eight hundred ninety billion, three hundred ninety-nine million, eight hundred thirty-two thousand, one hundred".