6101615117105 has 16 divisors (see below), whose sum is σ = 7510225325904. Its totient is φ = 4756075345920.

The previous prime is 6101615117053. The next prime is 6101615117161. The reversal of 6101615117105 is 5017115161016.

It can be written as a sum of positive squares in 8 ways, for example, as 984532279696 + 5117082837409 = 992236^2 + 2262097^2 .

It is not a de Polignac number, because 6101615117105 - 2¹⁶ = 6101615051569 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19093784 + ... + 19410713.

It is an arithmetic number, because the mean of its divisors is an integer number (469389082869).

Almost surely, 2^{6101615117105} is an apocalyptic number.

It is an amenable number.

6101615117105 is a deficient number, since it is larger than the sum of its proper divisors (1408610208799).

6101615117105 is a wasteful number, since it uses less digits than its factorization.

6101615117105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38505316.

The product of its (nonzero) digits is 6300, while the sum is 35.

The spelling of 6101615117105 in words is "six trillion, one hundred one billion, six hundred fifteen million, one hundred seventeen thousand, one hundred five".