105180086178442 has 32 divisors (see below), whose sum is σ = 173168349004224. Its totient is φ = 47516134512000.

The previous prime is 105180086178421. The next prime is 105180086178463. The reversal of 105180086178442 is 244871680081501.

It is an interprime number because it is at equal distance from previous prime (105180086178421) and next prime (105180086178463).

It is a super-3 number, since 3×105180086178442³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6037317 + ... + 15710167.

It is an arithmetic number, because the mean of its divisors is an integer number (5411510906382).

Almost surely, 2^{105180086178442} is an apocalyptic number.

105180086178442 is a deficient number, since it is larger than the sum of its proper divisors (67988262825782).

105180086178442 is a wasteful number, since it uses less digits than its factorization.

105180086178442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9675894.

The product of its (nonzero) digits is 3440640, while the sum is 55.

The spelling of 105180086178442 in words is "one hundred five trillion, one hundred eighty billion, eighty-six million, one hundred seventy-eight thousand, four hundred forty-two".