105917561052081 has 8 divisors (see below), whose sum is σ = 141940284862464. Its totient is φ = 70253272304880.

The previous prime is 105917561052053. The next prime is 105917561052089. The reversal of 105917561052081 is 180250165719501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-105917561052081 is a prime.

It is a super-2 number, since 2×105917561052081² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105917561052089) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 89608765105 + ... + 89608766286.

It is an arithmetic number, because the mean of its divisors is an integer number (17742535607808).

Almost surely, 2^{105917561052081} is an apocalyptic number.

It is an amenable number.

105917561052081 is a deficient number, since it is larger than the sum of its proper divisors (36022723810383).

105917561052081 is a wasteful number, since it uses less digits than its factorization.

105917561052081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179217531591.

The product of its (nonzero) digits is 756000, while the sum is 51.

The spelling of 105917561052081 in words is "one hundred five trillion, nine hundred seventeen billion, five hundred sixty-one million, fifty-two thousand, eighty-one".