8103110400 has 1620 divisors, whose sum is σ = 39331935720. Its totient is φ = 1625702400.

The previous prime is 8103110383. The next prime is 8103110441. The reversal of 8103110400 is 40113018.

It is a tau number, because it is divible by the number of its divisors (1620).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 279417586 + ... + 279417614.

Almost surely, 2^8103110400 is an apocalyptic number.

8103110400 is a gapful number since it is divisible by the number (80) 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 8103110400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665967860).

8103110400 is an abundant number, since it is smaller than the sum of its proper divisors (31228825320).

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

8103110400 is a wasteful number, since it uses less digits than its factorization.

8103110400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 57 counting only the distinct ones).

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

The square root of 8103110400 is about 90017.2783414384. The cubic root of 8103110400 is about 2008.5558796024. Note that the first 3 decimals are identical.

Adding to 8103110400 its reverse (40113018), we get a palindrome (8143223418).

The spelling of 8103110400 in words is "eight billion, one hundred three million, one hundred ten thousand, four hundred".