105606606501 has 48 divisors (see below), whose sum is σ = 174895418880. Its totient is φ = 60780598560.

The previous prime is 105606606481. The next prime is 105606606529.

105606606501 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 105606606501 - 2²² = 105602412197 is a prime.

It is a super-2 number, since 2×105606606501² (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 (105606606551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149670 + ... + 483336.

It is an arithmetic number, because the mean of its divisors is an integer number (3643654560).

Almost surely, 2^105606606501 is an apocalyptic number.

105606606501 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105606606501 is a deficient number, since it is larger than the sum of its proper divisors (69288812379).

105606606501 is a wasteful number, since it uses less digits than its factorization.

105606606501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333846 (or 333843 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 105 and 606606501, that added together give a palindrome (606606606).

The spelling of 105606606501 in words is "one hundred five billion, six hundred six million, six hundred six thousand, five hundred one".