105595671078093 has 64 divisors (see below), whose sum is σ = 170155429068800. Its totient is φ = 56901748812480.

The previous prime is 105595671078083. The next prime is 105595671078119. The reversal of 105595671078093 is 390870176595501.

It is a happy number.

It is not a de Polignac number, because 105595671078093 - 2⁵ = 105595671078061 is a prime.

It is a super-2 number, since 2×105595671078093² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105595671078083) 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, 839791038 + ... + 839916768.

It is an arithmetic number, because the mean of its divisors is an integer number (2658678579200).

Almost surely, 2^{105595671078093} is an apocalyptic number.

It is an amenable number.

105595671078093 is a deficient number, since it is larger than the sum of its proper divisors (64559757990707).

105595671078093 is a wasteful number, since it uses less digits than its factorization.

105595671078093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135422.

The product of its (nonzero) digits is 71442000, while the sum is 66.

The spelling of 105595671078093 in words is "one hundred five trillion, five hundred ninety-five billion, six hundred seventy-one million, seventy-eight thousand, ninety-three".