105071221515649 has 8 divisors (see below), whose sum is σ = 105377410706688. Its totient is φ = 104765051809680.

The previous prime is 105071221515599. The next prime is 105071221515677. The reversal of 105071221515649 is 946515122170501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105071221515649 is a prime.

It is a super-2 number, since 2×105071221515649² (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 (105071221513649) 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, 5964304 + ... + 15675310.

It is an arithmetic number, because the mean of its divisors is an integer number (13172176338336).

Almost surely, 2^{105071221515649} is an apocalyptic number.

It is an amenable number.

105071221515649 is a deficient number, since it is larger than the sum of its proper divisors (306189191039).

105071221515649 is an equidigital number, since it uses as much as digits as its factorization.

105071221515649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9742535.

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 105071221515649 in words is "one hundred five trillion, seventy-one billion, two hundred twenty-one million, five hundred fifteen thousand, six hundred forty-nine".