105535647844 has 96 divisors (see below), whose sum is σ = 212992416000. Its totient is φ = 45285672960.

The previous prime is 105535647823. The next prime is 105535647857. The reversal of 105535647844 is 448746535501.

It is a super-2 number, since 2×105535647844² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105535647791 and 105535647800.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94480774 + ... + 94481890.

It is an arithmetic number, because the mean of its divisors is an integer number (2218671000).

Almost surely, 2^105535647844 is an apocalyptic number.

It is an amenable number.

105535647844 is an abundant number, since it is smaller than the sum of its proper divisors (107456768156).

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

105535647844 is a wasteful number, since it uses less digits than its factorization.

105535647844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2291 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 105535647844 in words is "one hundred five billion, five hundred thirty-five million, six hundred forty-seven thousand, eight hundred forty-four".