100008810 has 128 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 23976000.

The previous prime is 100008803. The next prime is 100008851. The reversal of 100008810 is 18800001.

It is a happy number.

It is a super-2 number, since 2×100008810² = 20003524155232200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448359 + ... + 448581.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2^100008810 is an apocalyptic number.

100008810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100008810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

100008810 is an abundant number, since it is smaller than the sum of its proper divisors (194165910).

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

100008810 is a wasteful number, since it uses less digits than its factorization.

100008810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 100008810 is about 10000.4404902984. The cubic root of 100008810 is about 464.1725137602.

Adding to 100008810 its reverse (18800001), we get a palindrome (118808811).

The spelling of 100008810 in words is "one hundred million, eight thousand, eight hundred ten".