105605155555564 has 18 divisors (see below), whose sum is σ = 214981923809940. Its totient is φ = 45259352380872.

The previous prime is 105605155555561. The next prime is 105605155555573. The reversal of 105605155555564 is 465555551506501.

It is a super-2 number, since 2×105605155555564² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605155555499 and 105605155555508.

It is not an unprimeable number, because it can be changed into a prime (105605155555561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 269400906834 + ... + 269400907225.

Almost surely, 2^{105605155555564} is an apocalyptic number.

105605155555564 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105605155555564 is an abundant number, since it is smaller than the sum of its proper divisors (109376768254376).

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

105605155555564 is a wasteful number, since it uses less digits than its factorization.

105605155555564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538801814077 (or 538801814068 counting only the distinct ones).

The product of its (nonzero) digits is 56250000, while the sum is 58.

The spelling of 105605155555564 in words is "one hundred five trillion, six hundred five billion, one hundred fifty-five million, five hundred fifty-five thousand, five hundred sixty-four".