10005060510 has 48 divisors (see below), whose sum is σ = 26030862000. Its totient is φ = 2666200320.

The previous prime is 10005060509. The next prime is 10005060511. The reversal of 10005060510 is 1506050001.

10005060510 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 50 + 605 + 10 = 666.

10005060510 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10005060509) and next prime (10005060511).

It is a super-2 number, since 2×10005060510² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005060511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 97830 + ... + 171990.

It is an arithmetic number, because the mean of its divisors is an integer number (542309625).

Almost surely, 2^10005060510 is an apocalyptic number.

10005060510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10005060510 is an abundant number, since it is smaller than the sum of its proper divisors (16025801490).

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

10005060510 is a wasteful number, since it uses less digits than its factorization.

10005060510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75673 (or 75670 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The spelling of 10005060510 in words is "ten billion, five million, sixty thousand, five hundred ten".