105157155205565 has 16 divisors (see below), whose sum is σ = 127472139970560. Its totient is φ = 83273256855360.

The previous prime is 105157155205541. The next prime is 105157155205573. The reversal of 105157155205565 is 565502551751501.

It is a de Polignac number, because none of the positive numbers 2^k-105157155205565 is a prime.

It is a super-2 number, since 2×105157155205565² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201938045 + ... + 202458114.

It is an arithmetic number, because the mean of its divisors is an integer number (7967008748160).

Almost surely, 2^{105157155205565} is an apocalyptic number.

It is an amenable number.

105157155205565 is a deficient number, since it is larger than the sum of its proper divisors (22314984764995).

105157155205565 is a wasteful number, since it uses less digits than its factorization.

105157155205565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404396692.

The product of its (nonzero) digits is 6562500, while the sum is 53.

The spelling of 105157155205565 in words is "one hundred five trillion, one hundred fifty-seven billion, one hundred fifty-five million, two hundred five thousand, five hundred sixty-five".