105345071537116 has 24 divisors (see below), whose sum is σ = 195200463336480. Its totient is φ = 49573581775872.

The previous prime is 105345071537063. The next prime is 105345071537117. The reversal of 105345071537116 is 611735170543501.

It is a super-2 number, since 2×105345071537116² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105345071537116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345071537117) 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, 2907096 + ... + 14803423.

It is an arithmetic number, because the mean of its divisors is an integer number (8133352639020).

Almost surely, 2^{105345071537116} is an apocalyptic number.

It is an amenable number.

105345071537116 is a deficient number, since it is larger than the sum of its proper divisors (89855391799364).

105345071537116 is a wasteful number, since it uses less digits than its factorization.

105345071537116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17798013 (or 17798011 counting only the distinct ones).

The product of its (nonzero) digits is 1323000, while the sum is 49.

The spelling of 105345071537116 in words is "one hundred five trillion, three hundred forty-five billion, seventy-one million, five hundred thirty-seven thousand, one hundred sixteen".