105055560600 has 96 divisors (see below), whose sum is σ = 328015464000. Its totient is φ = 27813248640.

The previous prime is 105055560563. The next prime is 105055560607. The reversal of 105055560600 is 6065550501.

It is a super-2 number, since 2×105055560600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055560607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546430 + ... + 713229.

It is an arithmetic number, because the mean of its divisors is an integer number (3416827750).

Almost surely, 2^105055560600 is an apocalyptic number.

105055560600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055560600 is an abundant number, since it is smaller than the sum of its proper divisors (222959903400).

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

105055560600 is a wasteful number, since it uses less digits than its factorization.

105055560600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259817 (or 1259808 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 33.

The spelling of 105055560600 in words is "one hundred five billion, fifty-five million, five hundred sixty thousand, six hundred".