105375915684 has 48 divisors (see below), whose sum is σ = 294211962240. Its totient is φ = 32423358240.

The previous prime is 105375915683. The next prime is 105375915763. The reversal of 105375915684 is 486519573501.

105375915684 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 75 + 9 + 1 + 568 + 4 = 666.

It is a super-2 number, since 2×105375915684² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 105375915684.

It is not an unprimeable number, because it can be changed into a prime (105375915683) 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 15 ways as a sum of consecutive naturals, for example, 37525632 + ... + 37528439.

It is an arithmetic number, because the mean of its divisors is an integer number (6129415880).

Almost surely, 2^105375915684 is an apocalyptic number.

It is an amenable number.

105375915684 is an abundant number, since it is smaller than the sum of its proper divisors (188836046556).

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

105375915684 is a wasteful number, since it uses less digits than its factorization.

105375915684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75054097 (or 75054089 counting only the distinct ones).

The product of its (nonzero) digits is 4536000, while the sum is 54.

The spelling of 105375915684 in words is "one hundred five billion, three hundred seventy-five million, nine hundred fifteen thousand, six hundred eighty-four".