6005102824 has 16 divisors (see below), whose sum is σ = 12868077600. Its totient is φ = 2573615472.

The previous prime is 6005102809. The next prime is 6005102837. The reversal of 6005102824 is 4282015006.

It is a super-2 number, since 2×6005102824² = 72122519853625549952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 6005102792 and 6005102801.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 53616934 + ... + 53617045.

It is an arithmetic number, because the mean of its divisors is an integer number (804254850).

Almost surely, 2^6005102824 is an apocalyptic number.

It is an amenable number.

6005102824 is an abundant number, since it is smaller than the sum of its proper divisors (6862974776).

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

6005102824 is a wasteful number, since it uses less digits than its factorization.

6005102824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107233992 (or 107233988 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 6005102824 is about 77492.5985110836. The cubic root of 6005102824 is about 1817.6355827858.

The spelling of 6005102824 in words is "six billion, five million, one hundred two thousand, eight hundred twenty-four".