105377457947 has 16 divisors (see below), whose sum is σ = 109270425600. Its totient is φ = 101516416320.

The previous prime is 105377457937. The next prime is 105377457953. The reversal of 105377457947 is 749754773501.

It is a cyclic number.

It is not a de Polignac number, because 105377457947 - 2¹⁰ = 105377456923 is a prime.

It is a super-2 number, since 2×105377457947² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105377457937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6213263 + ... + 6230199.

It is an arithmetic number, because the mean of its divisors is an integer number (6829401600).

Almost surely, 2^105377457947 is an apocalyptic number.

105377457947 is a deficient number, since it is larger than the sum of its proper divisors (3892967653).

105377457947 is a wasteful number, since it uses less digits than its factorization.

105377457947 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17866.

The product of its (nonzero) digits is 25930800, while the sum is 59.

The spelling of 105377457947 in words is "one hundred five billion, three hundred seventy-seven million, four hundred fifty-seven thousand, nine hundred forty-seven".