105202071161007 has 8 divisors (see below), whose sum is σ = 141278560792320. Its totient is φ = 69630147818520.

The previous prime is 105202071160993. The next prime is 105202071161029. The reversal of 105202071161007 is 700161170202501.

105202071161007 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 105202071161007 - 2¹² = 105202071156911 is a prime.

It is a super-2 number, since 2×105202071161007² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105202071161107) 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, 126141571719 + ... + 126141572552.

It is an arithmetic number, because the mean of its divisors is an integer number (17659820099040).

Almost surely, 2^{105202071161007} is an apocalyptic number.

105202071161007 is a deficient number, since it is larger than the sum of its proper divisors (36076489631313).

105202071161007 is a wasteful number, since it uses less digits than its factorization.

105202071161007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252283144413.

The product of its (nonzero) digits is 5880, while the sum is 33.

The spelling of 105202071161007 in words is "one hundred five trillion, two hundred two billion, seventy-one million, one hundred sixty-one thousand, seven".