105715202210561 has 8 divisors (see below), whose sum is σ = 106993744987584. Its totient is φ = 104436775282320.

The previous prime is 105715202210489. The next prime is 105715202210599. The reversal of 105715202210561 is 165012202517501.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 105715202210561 - 2¹⁰ = 105715202209537 is a prime.

It is a super-2 number, since 2×105715202210561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105715232210561) 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, 27125405 + ... + 30776906.

It is an arithmetic number, because the mean of its divisors is an integer number (13374218123448).

Almost surely, 2^{105715202210561} is an apocalyptic number.

It is an amenable number.

105715202210561 is a deficient number, since it is larger than the sum of its proper divisors (1278542777023).

105715202210561 is an equidigital number, since it uses as much as digits as its factorization.

105715202210561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57924391.

The product of its (nonzero) digits is 42000, while the sum is 38.

The spelling of 105715202210561 in words is "one hundred five trillion, seven hundred fifteen billion, two hundred two million, two hundred ten thousand, five hundred sixty-one".