898305884100 has 135 divisors (see below), whose sum is σ = 2912229328701. Its totient is φ = 239525488800.

The previous prime is 898305884071. The next prime is 898305884107. The reversal of 898305884100 is 1488503898.

The square root of 898305884100 is 947790.

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., 323390118276 + 574915765824 = 568674^2 + 758232^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×898305884100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (898305884107) 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 44 ways as a sum of consecutive naturals, for example, 85295835 + ... + 85306365.

Almost surely, 2^898305884100 is an apocalyptic number.

898305884100 is the 947790-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 898305884100

898305884100 is an abundant number, since it is smaller than the sum of its proper divisors (2013923444601).

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

898305884100 is an equidigital number, since it uses as much as digits as its factorization.

898305884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 10541 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 898305884100 in words is "eight hundred ninety-eight billion, three hundred five million, eight hundred eighty-four thousand, one hundred".