105501700128 has 96 divisors (see below), whose sum is σ = 308546703360. Its totient is φ = 31289980160.

The previous prime is 105501700093. The next prime is 105501700133. The reversal of 105501700128 is 821007105501.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×105501700128³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105501700095 and 105501700104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013208 + ... + 1112471.

It is an arithmetic number, because the mean of its divisors is an integer number (3214028160).

Almost surely, 2^105501700128 is an apocalyptic number.

It is an amenable number.

105501700128 is an abundant number, since it is smaller than the sum of its proper divisors (203045003232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105501700128 is a wasteful number, since it uses less digits than its factorization.

105501700128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2125750 (or 2125742 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

Adding to 105501700128 its reverse (821007105501), we get a palindrome (926508805629).

The spelling of 105501700128 in words is "one hundred five billion, five hundred one million, seven hundred thousand, one hundred twenty-eight".