105105075785251 has 4 divisors (see below), whose sum is σ = 105105208748400. Its totient is φ = 105104942822104.

The previous prime is 105105075785233. The next prime is 105105075785257. The reversal of 105105075785251 is 152587570501501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105105075785251 - 2²¹ = 105105073688099 is a prime.

It is a super-3 number, since 3×105105075785251³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105105075785257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65288716 + ... + 66879193.

It is an arithmetic number, because the mean of its divisors is an integer number (26276302187100).

Almost surely, 2^{105105075785251} is an apocalyptic number.

105105075785251 is a deficient number, since it is larger than the sum of its proper divisors (132963149).

105105075785251 is an equidigital number, since it uses as much as digits as its factorization.

105105075785251 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132963148.

The product of its (nonzero) digits is 2450000, while the sum is 52.

The spelling of 105105075785251 in words is "one hundred five trillion, one hundred five billion, seventy-five million, seven hundred eighty-five thousand, two hundred fifty-one".