105601001101055 has 64 divisors (see below), whose sum is σ = 129617000368128. Its totient is φ = 82576548848640.

The previous prime is 105601001101039. The next prime is 105601001101081. The reversal of 105601001101055 is 550101100106501.

It is not a de Polignac number, because 105601001101055 - 2⁴ = 105601001101039 is a prime.

It is a super-2 number, since 2×105601001101055² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28719334877 + ... + 28719338553.

It is an arithmetic number, because the mean of its divisors is an integer number (2025265630752).

Almost surely, 2^{105601001101055} is an apocalyptic number.

105601001101055 is a deficient number, since it is larger than the sum of its proper divisors (24015999267073).

105601001101055 is a wasteful number, since it uses less digits than its factorization.

105601001101055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 105601001101055 its reverse (550101100106501), we get a palindrome (655702101207556).

The spelling of 105601001101055 in words is "one hundred five trillion, six hundred one billion, one million, one hundred one thousand, fifty-five".