105601106501907 has 64 divisors (see below), whose sum is σ = 150803080888320. Its totient is φ = 65602631517696.

The previous prime is 105601106501843. The next prime is 105601106501911. The reversal of 105601106501907 is 709105601106501.

It is not a de Polignac number, because 105601106501907 - 2⁶ = 105601106501843 is a prime.

It is a super-2 number, since 2×105601106501907² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105601106501207) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 296481838 + ... + 296837804.

It is an arithmetic number, because the mean of its divisors is an integer number (2356298138880).

Almost surely, 2^{105601106501907} is an apocalyptic number.

105601106501907 is a deficient number, since it is larger than the sum of its proper divisors (45201974386413).

105601106501907 is a wasteful number, since it uses less digits than its factorization.

105601106501907 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356780.

The product of its (nonzero) digits is 56700, while the sum is 42.

The spelling of 105601106501907 in words is "one hundred five trillion, six hundred one billion, one hundred six million, five hundred one thousand, nine hundred seven".