105072721856201 has 8 divisors (see below), whose sum is σ = 115737649495104. Its totient is φ = 94593271219920.

The previous prime is 105072721856189. The next prime is 105072721856203. The reversal of 105072721856201 is 102658127270501.

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-105072721856201 is a prime.

It is a super-2 number, since 2×105072721856201² (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 (105072721856203) 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, 46369249466 + ... + 46369251731.

It is an arithmetic number, because the mean of its divisors is an integer number (14467206186888).

Almost surely, 2^{105072721856201} is an apocalyptic number.

105072721856201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105072721856201 is a deficient number, since it is larger than the sum of its proper divisors (10664927638903).

105072721856201 is a wasteful number, since it uses less digits than its factorization.

105072721856201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92738501311.

The product of its (nonzero) digits is 470400, while the sum is 47.

The spelling of 105072721856201 in words is "one hundred five trillion, seventy-two billion, seven hundred twenty-one million, eight hundred fifty-six thousand, two hundred one".