890198100 has 360 divisors, whose sum is σ = 3211336128. Its totient is φ = 211507200.

The previous prime is 890198053. The next prime is 890198107. The reversal of 890198100 is 1891098.

It is a super-2 number, since 2×890198100² = 1584905314487220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890198107) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 8642649 + ... + 8642751.

Almost surely, 2^890198100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890198100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605668064).

890198100 is an abundant number, since it is smaller than the sum of its proper divisors (2321138028).

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

890198100 is a wasteful number, since it uses less digits than its factorization.

890198100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 890198100 is about 29836.1877591625. The cubic root of 890198100 is about 961.9715342623.

The spelling of 890198100 in words is "eight hundred ninety million, one hundred ninety-eight thousand, one hundred".