105107070706004 has 12 divisors (see below), whose sum is σ = 183969016193844. Its totient is φ = 52544494650624.

The previous prime is 105107070705977. The next prime is 105107070706049. The reversal of 105107070706004 is 400607070701501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 31488954696004 + 73618116010000 = 5611502^2 + 8580100^2 .

It is a super-2 number, since 2×105107070706004² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2260149437 + ... + 2260195940.

It is an arithmetic number, because the mean of its divisors is an integer number (15330751349487).

Almost surely, 2^{105107070706004} is an apocalyptic number.

It is an amenable number.

105107070706004 is a deficient number, since it is larger than the sum of its proper divisors (78861945487840).

105107070706004 is a wasteful number, since it uses less digits than its factorization.

105107070706004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520351194 (or 4520351192 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 38.

The spelling of 105107070706004 in words is "one hundred five trillion, one hundred seven billion, seventy million, seven hundred six thousand, four".