10808101800 has 144 divisors (see below), whose sum is σ = 36338937180. Its totient is φ = 2878848000.

The previous prime is 10808101789. The next prime is 10808101807. The reversal of 10808101800 is 810180801.

10808101800 is a nontrivial binomial coefficient, being equal to C(147025, 2).

It can be written as a sum of positive squares in 6 ways, for example, as 6285001284 + 4523100516 = 79278^2 + 67254^2 .

It is not an unprimeable number, because it can be changed into a prime (10808101807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1834860 + ... + 1840740.

Almost surely, 2^10808101800 is an apocalyptic number.

10808101800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10808101800 is the 147024-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10808101800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18169468590).

10808101800 is an abundant number, since it is smaller than the sum of its proper divisors (25530835380).

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

10808101800 is a wasteful number, since it uses less digits than its factorization.

10808101800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6924 (or 6912 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 27.

The spelling of 10808101800 in words is "ten billion, eight hundred eight million, one hundred one thousand, eight hundred".