105542664544 has 48 divisors (see below), whose sum is σ = 222660709488. Its totient is φ = 49068716032.

The previous prime is 105542664481. The next prime is 105542664559. The reversal of 105542664544 is 445466245501.

It is a super-2 number, since 2×105542664544² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105542664494 and 105542664503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1123597 + ... + 1213900.

It is an arithmetic number, because the mean of its divisors is an integer number (4638764781).

Almost surely, 2^105542664544 is an apocalyptic number.

It is an amenable number.

105542664544 is an abundant number, since it is smaller than the sum of its proper divisors (117118044944).

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

105542664544 is a wasteful number, since it uses less digits than its factorization.

105542664544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337607 (or 2337599 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 46.

The spelling of 105542664544 in words is "one hundred five billion, five hundred forty-two million, six hundred sixty-four thousand, five hundred forty-four".