105275779147 has 128 divisors (see below), whose sum is σ = 148478054400. Its totient is φ = 72112128000.

The previous prime is 105275779127. The next prime is 105275779183. The reversal of 105275779147 is 741977572501.

It is not a de Polignac number, because 105275779147 - 2⁷ = 105275779019 is a prime.

It is a super-2 number, since 2×105275779147² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105275779127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 270631629 + ... + 270632017.

It is an arithmetic number, because the mean of its divisors is an integer number (1159984800).

Almost surely, 2^105275779147 is an apocalyptic number.

105275779147 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105275779147 is a deficient number, since it is larger than the sum of its proper divisors (43202275253).

105275779147 is a wasteful number, since it uses less digits than its factorization.

105275779147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637.

The product of its (nonzero) digits is 4321800, while the sum is 55.

The spelling of 105275779147 in words is "one hundred five billion, two hundred seventy-five million, seven hundred seventy-nine thousand, one hundred forty-seven".