105136442777067 has 64 divisors (see below), whose sum is σ = 153749219420160. Its totient is φ = 63510560064000.

The previous prime is 105136442777063. The next prime is 105136442777083. The reversal of 105136442777067 is 760777244631501.

It is not a de Polignac number, because 105136442777067 - 2² = 105136442777063 is a prime.

It is a super-2 number, since 2×105136442777067² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105136442777067.

It is not an unprimeable number, because it can be changed into a prime (105136442777063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2980124734 + ... + 2980160012.

It is an arithmetic number, because the mean of its divisors is an integer number (2402331553440).

Almost surely, 2^{105136442777067} is an apocalyptic number.

105136442777067 is a deficient number, since it is larger than the sum of its proper divisors (48612776643093).

105136442777067 is a wasteful number, since it uses less digits than its factorization.

105136442777067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37844.

The product of its (nonzero) digits is 41489280, while the sum is 60.

The spelling of 105136442777067 in words is "one hundred five trillion, one hundred thirty-six billion, four hundred forty-two million, seven hundred seventy-seven thousand, sixty-seven".