10900008 has 128 divisors (see below), whose sum is σ = 35424000. Its totient is φ = 3079296.

The previous prime is 10900007. The next prime is 10900013. The reversal of 10900008 is 80000901.

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

It is not an unprimeable number, because it can be changed into a prime (10900007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122428 + ... + 122516.

It is an arithmetic number, because the mean of its divisors is an integer number (276750).

Almost surely, 2^10900008 is an apocalyptic number.

10900008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10900008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17712000).

10900008 is an abundant number, since it is smaller than the sum of its proper divisors (24523992).

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

10900008 is an frugal number, since it uses more digits than its factorization.

10900008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10900008 is about 3301.5160154087. The cubic root of 10900008 is about 221.7220773406.

Adding to 10900008 its reverse (80000901), we get a palindrome (90900909).

The spelling of 10900008 in words is "ten million, nine hundred thousand, eight".