105315787875 has 32 divisors (see below), whose sum is σ = 175395856896. Its totient is φ = 56120220000.

The previous prime is 105315787847. The next prime is 105315787879. The reversal of 105315787875 is 578787513501.

It is not a de Polignac number, because 105315787875 - 2⁷ = 105315787747 is a prime.

It is a super-2 number, since 2×105315787875² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105315787879) 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 31 ways as a sum of consecutive naturals, for example, 319210 + ... + 559040.

It is an arithmetic number, because the mean of its divisors is an integer number (5481120528).

Almost surely, 2^105315787875 is an apocalyptic number.

105315787875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105315787875 is a deficient number, since it is larger than the sum of its proper divisors (70080069021).

105315787875 is a wasteful number, since it uses less digits than its factorization.

105315787875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241020 (or 241010 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 57.

The spelling of 105315787875 in words is "one hundred five billion, three hundred fifteen million, seven hundred eighty-seven thousand, eight hundred seventy-five".