6105825100 has 72 divisors (see below), whose sum is σ = 14046962048. Its totient is φ = 2299622400.

The previous prime is 6105825079. The next prime is 6105825107. The reversal of 6105825100 is 15285016.

It is a super-2 number, since 2×6105825100² = 74562200303580020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6105825107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88084 + ... + 141316.

Almost surely, 2^6105825100 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 6105825100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7023481024).

6105825100 is an abundant number, since it is smaller than the sum of its proper divisors (7941136948).

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

6105825100 is a wasteful number, since it uses less digits than its factorization.

6105825100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53315 (or 53308 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 28.

The square root of 6105825100 is about 78139.7792420736. The cubic root of 6105825100 is about 1827.7415578688.

The spelling of 6105825100 in words is "six billion, one hundred five million, eight hundred twenty-five thousand, one hundred".