810031104 has 240 divisors, whose sum is σ = 2556754200. Its totient is φ = 254803968.

The previous prime is 810031099. The next prime is 810031109. The reversal of 810031104 is 401130018.

It is an interprime number because it is at equal distance from previous prime (810031099) and next prime (810031109).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810031109) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3151744 + ... + 3152000.

Almost surely, 2^810031104 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 810031104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278377100).

810031104 is an abundant number, since it is smaller than the sum of its proper divisors (1746723096).

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

810031104 is a wasteful number, since it uses less digits than its factorization.

810031104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 810031104 is about 28461.0453778494. The cubic root of 810031104 is about 932.1816834063.

It can be divided in two parts, 8100 and 31104, that added together give a square (39204 = 198²).

The spelling of 810031104 in words is "eight hundred ten million, thirty-one thousand, one hundred four".