10519000104 has 128 divisors (see below), whose sum is σ = 28806036480. Its totient is φ = 3186585600.

The previous prime is 10519000061. The next prime is 10519000123. The reversal of 10519000104 is 40100091501.

10519000104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10519000104² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 10383502 + ... + 10384514.

It is an arithmetic number, because the mean of its divisors is an integer number (225047160).

Almost surely, 2^10519000104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10519000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14403018240).

10519000104 is an abundant number, since it is smaller than the sum of its proper divisors (18287036376).

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

10519000104 is a wasteful number, since it uses less digits than its factorization.

10519000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1891 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 10519000104 its reverse (40100091501), we get a palindrome (50619091605).

The spelling of 10519000104 in words is "ten billion, five hundred nineteen million, one hundred four", and thus it is an aban number.