8007103104 has 512 divisors, whose sum is σ = 29380700160. Its totient is φ = 1864581120.

The previous prime is 8007103061. The next prime is 8007103127. The reversal of 8007103104 is 4013017008.

It is a super-2 number, since 2×8007103104² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 14221927 + ... + 14222489.

It is an arithmetic number, because the mean of its divisors is an integer number (57384180).

Almost surely, 2^8007103104 is an apocalyptic number.

8007103104 is a gapful number since it is divisible by the number (84) 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 8007103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14690350080).

8007103104 is an abundant number, since it is smaller than the sum of its proper divisors (21373597056).

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

8007103104 is a wasteful number, since it uses less digits than its factorization.

8007103104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 8007103104 is about 89482.4178484243. The cubic root of 8007103104 is about 2000.5917502319.

It can be divided in two parts, 8007 and 103104, that added together give a palindrome (111111).

The spelling of 8007103104 in words is "eight billion, seven million, one hundred three thousand, one hundred four".