889508100 has 144 divisors (see below), whose sum is σ = 2817805760. Its totient is φ = 215308800.

The previous prime is 889508071. The next prime is 889508129. The reversal of 889508100 is 1805988.

It is an interprime number because it is at equal distance from previous prime (889508071) and next prime (889508129).

It is a super-2 number, since 2×889508100² = 1582449319931220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236031 + ... + 239769.

Almost surely, 2^889508100 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 889508100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408902880).

889508100 is an abundant number, since it is smaller than the sum of its proper divisors (1928297660).

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

889508100 is a wasteful number, since it uses less digits than its factorization.

889508100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3830 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 889508100 is about 29824.6223781626. The cubic root of 889508100 is about 961.7229259552.

The spelling of 889508100 in words is "eight hundred eighty-nine million, five hundred eight thousand, one hundred".