105500601306 has 32 divisors (see below), whose sum is σ = 237270438720. Its totient is φ = 34743168432.

The previous prime is 105500601289. The next prime is 105500601317. The reversal of 105500601306 is 603106005501.

It is a happy number.

105500601306 is a `hidden beast` number, since 1 + 0 + 5 + 50 + 0 + 601 + 3 + 0 + 6 = 666.

105500601306 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105500601306² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105500601306.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11764885 + ... + 11773848.

It is an arithmetic number, because the mean of its divisors is an integer number (7414701210).

Almost surely, 2^105500601306 is an apocalyptic number.

105500601306 is an abundant number, since it is smaller than the sum of its proper divisors (131769837414).

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

105500601306 is a wasteful number, since it uses less digits than its factorization.

105500601306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23538827 (or 23538821 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 105500601306 its reverse (603106005501), we get a palindrome (708606606807).

The spelling of 105500601306 in words is "one hundred five billion, five hundred million, six hundred one thousand, three hundred six".