6105135000 has 160 divisors (see below), whose sum is σ = 19143059760. Its totient is φ = 1622016000.

The previous prime is 6105134989. The next prime is 6105135011. The reversal of 6105135000 is 5315016.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6105134989) and next prime (6105135011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5294424 + ... + 5295576.

Almost surely, 2^6105135000 is an apocalyptic number.

6105135000 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 6105135000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571529880).

6105135000 is an abundant number, since it is smaller than the sum of its proper divisors (13037924760).

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

6105135000 is a wasteful number, since it uses less digits than its factorization.

6105135000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 6105135000 is about 78135.3633126512. The cubic root of 6105135000 is about 1827.6726961970.

The spelling of 6105135000 in words is "six billion, one hundred five million, one hundred thirty-five thousand".