105601055505 has 32 divisors (see below), whose sum is σ = 186146840448. Its totient is φ = 50693568000.

The previous prime is 105601055477. The next prime is 105601055513. The reversal of 105601055505 is 505550106501.

It is not a de Polignac number, because 105601055505 - 2¹³ = 105601047313 is a prime.

It is a super-2 number, since 2×105601055505² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3151684 + ... + 3185013.

It is an arithmetic number, because the mean of its divisors is an integer number (5817088764).

Almost surely, 2^105601055505 is an apocalyptic number.

105601055505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105601055505 is a deficient number, since it is larger than the sum of its proper divisors (80545784943).

105601055505 is a wasteful number, since it uses less digits than its factorization.

105601055505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6336817.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105601055505 in words is "one hundred five billion, six hundred one million, fifty-five thousand, five hundred five".