105123106505 has 8 divisors (see below), whose sum is σ = 126164780232. Its totient is φ = 84087116928.

The previous prime is 105123106493. The next prime is 105123106541. The reversal of 105123106505 is 505601321501.

It can be written as a sum of positive squares in 4 ways, for example, as 26734866064 + 78388240441 = 163508^2 + 279979^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105123106505 - 2²⁸ = 104854671049 is a prime.

It is a super-2 number, since 2×105123106505² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1380242 + ... + 1454411.

It is an arithmetic number, because the mean of its divisors is an integer number (15770597529).

Almost surely, 2^105123106505 is an apocalyptic number.

It is an amenable number.

105123106505 is a deficient number, since it is larger than the sum of its proper divisors (21041673727).

105123106505 is an equidigital number, since it uses as much as digits as its factorization.

105123106505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842075.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105123106505 in words is "one hundred five billion, one hundred twenty-three million, one hundred six thousand, five hundred five".