105017157705201 has 32 divisors (see below), whose sum is σ = 166990385123328. Its totient is φ = 57398420059200.

The previous prime is 105017157705199. The next prime is 105017157705269. The reversal of 105017157705201 is 102507751710501.

It is a happy number.

It is not a de Polignac number, because 105017157705201 - 2¹ = 105017157705199 is a prime.

It is a super-2 number, since 2×105017157705201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105017157703201) 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, 8018751 + ... + 16563051.

It is an arithmetic number, because the mean of its divisors is an integer number (5218449535104).

Almost surely, 2^{105017157705201} is an apocalyptic number.

It is an amenable number.

105017157705201 is a deficient number, since it is larger than the sum of its proper divisors (61973227418127).

105017157705201 is a wasteful number, since it uses less digits than its factorization.

105017157705201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8569781.

The product of its (nonzero) digits is 85750, while the sum is 42.

The spelling of 105017157705201 in words is "one hundred five trillion, seventeen billion, one hundred fifty-seven million, seven hundred five thousand, two hundred one".