6105120057090 has 64 divisors (see below), whose sum is σ = 16287593011200. Its totient is φ = 1627304729472.

The previous prime is 6105120057059. The next prime is 6105120057133. The reversal of 6105120057090 is 907500215016.

6105120057090 is a `hidden beast` number, since 6 + 1 + 0 + 512 + 0 + 0 + 57 + 0 + 90 = 666.

It is a super-2 number, since 2×6105120057090² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4444947 + ... + 5654006.

It is an arithmetic number, because the mean of its divisors is an integer number (254493640800).

Almost surely, 2^{6105120057090} is an apocalyptic number.

6105120057090 is an abundant number, since it is smaller than the sum of its proper divisors (10182472954110).

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

6105120057090 is a wasteful number, since it uses less digits than its factorization.

6105120057090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10101208 (or 10101202 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 6105120057090 in words is "six trillion, one hundred five billion, one hundred twenty million, fifty-seven thousand, ninety".