10108080100 has 72 divisors (see below), whose sum is σ = 22862647808. Its totient is φ = 3874694400.

The previous prime is 10108080097. The next prime is 10108080121. The reversal of 10108080100 is 108080101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303472 + ... + 335128.

Almost surely, 2^10108080100 is an apocalyptic number.

10108080100 is a gapful number since it is divisible by the number (10) 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 10108080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431323904).

10108080100 is an abundant number, since it is smaller than the sum of its proper divisors (12754567708).

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

10108080100 is a wasteful number, since it uses less digits than its factorization.

10108080100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31805 (or 31798 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Subtracting from 10108080100 its reverse (108080101), we obtain a palindrome (9999999999).

The spelling of 10108080100 in words is "ten billion, one hundred eight million, eighty thousand, one hundred".