6105505260 has 96 divisors (see below), whose sum is σ = 17540167680. Its totient is φ = 1586271232.

The previous prime is 6105505253. The next prime is 6105505267. The reversal of 6105505260 is 625055016.

It is an interprime number because it is at equal distance from previous prime (6105505253) and next prime (6105505267).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (6105505267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392389 + ... + 407651.

It is an arithmetic number, because the mean of its divisors is an integer number (182710080).

Almost surely, 2^6105505260 is an apocalyptic number.

6105505260 is a gapful number since it is divisible by the number (60) 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 6105505260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8770083840).

6105505260 is an abundant number, since it is smaller than the sum of its proper divisors (11434662420).

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

6105505260 is a wasteful number, since it uses less digits than its factorization.

6105505260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15447 (or 15445 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 6105505260 is about 78137.7326264334. The cubic root of 6105505260 is about 1827.7096432595.

It can be divided in two parts, 6105505 and 260, that added together give a triangular number (6105765 = T₃₄₉₄).

The spelling of 6105505260 in words is "six billion, one hundred five million, five hundred five thousand, two hundred sixty".