105356640123 has 96 divisors (see below), whose sum is σ = 185557671936. Its totient is φ = 56231967744.

The previous prime is 105356640121. The next prime is 105356640217. The reversal of 105356640123 is 321046653501.

105356640123 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 6 + 640 + 1 + 2 + 3 = 666.

It is not a de Polignac number, because 105356640123 - 2¹ = 105356640121 is a prime.

It is a super-2 number, since 2×105356640123² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105356640121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120132561 + ... + 120133437.

It is an arithmetic number, because the mean of its divisors is an integer number (1932892416).

Almost surely, 2^105356640123 is an apocalyptic number.

105356640123 is a deficient number, since it is larger than the sum of its proper divisors (80201031813).

105356640123 is a wasteful number, since it uses less digits than its factorization.

105356640123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 105356640123 in words is "one hundred five billion, three hundred fifty-six million, six hundred forty thousand, one hundred twenty-three".