5105105000 has 80 divisors (see below), whose sum is σ = 12029477460. Its totient is φ = 2030400000.

The previous prime is 5105104973. The next prime is 5105105011. The reversal of 5105105000 is 5015015.

It can be written as a sum of positive squares in 10 ways, for example, as 402162916 + 4702942084 = 20054^2 + 68578^2 .

It is a super-2 number, since 2×5105105000² = 52124194122050000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5105105000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 902180 + ... + 907820.

Almost surely, 2^5105105000 is an apocalyptic number.

5105105000 is a gapful number since it is divisible by the number (50) 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 5105105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6014738730).

5105105000 is an abundant number, since it is smaller than the sum of its proper divisors (6924372460).

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

5105105000 is a wasteful number, since it uses less digits than its factorization.

5105105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5848 (or 5829 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The square root of 5105105000 is about 71450.0174947494. The cubic root of 5105105000 is about 1721.8747585921.

The spelling of 5105105000 in words is "five billion, one hundred five million, one hundred five thousand".