105560101105500 has 48 divisors (see below), whose sum is σ = 307391014423584. Its totient is φ = 28149360294400.

The previous prime is 105560101105453. The next prime is 105560101105507. The reversal of 105560101105500 is 5501101065501.

It is a super-2 number, since 2×105560101105500² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105560101105507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35186698869 + ... + 35186701868.

It is an arithmetic number, because the mean of its divisors is an integer number (6403979467158).

Almost surely, 2^{105560101105500} is an apocalyptic number.

105560101105500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105560101105500 is an abundant number, since it is smaller than the sum of its proper divisors (201830913318084).

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

105560101105500 is a wasteful number, since it uses less digits than its factorization.

105560101105500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70373400759 (or 70373400747 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 30.

The spelling of 105560101105500 in words is "one hundred five trillion, five hundred sixty billion, one hundred one million, one hundred five thousand, five hundred".