105051755336742 has 96 divisors (see below), whose sum is σ = 229041672537600. Its totient is φ = 34798153775616.

The previous prime is 105051755336683. The next prime is 105051755336761. The reversal of 105051755336742 is 247633557150501.

105051755336742 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 1 + 7 + 5 + 533 + 67 + 42 = 666.

It is a super-3 number, since 3×105051755336742³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3137823559 + ... + 3137857037.

It is an arithmetic number, because the mean of its divisors is an integer number (2385850755600).

Almost surely, 2^{105051755336742} is an apocalyptic number.

105051755336742 is an abundant number, since it is smaller than the sum of its proper divisors (123989917200858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105051755336742 is a wasteful number, since it uses less digits than its factorization.

105051755336742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35522 (or 35519 counting only the distinct ones).

The product of its (nonzero) digits is 13230000, while the sum is 54.

The spelling of 105051755336742 in words is "one hundred five trillion, fifty-one billion, seven hundred fifty-five million, three hundred thirty-six thousand, seven hundred forty-two".