105895995574084 has 27 divisors (see below), whose sum is σ = 188408029076631. Its totient is φ = 52079380388640.

The previous prime is 105895995574081. The next prime is 105895995574121. The reversal of 105895995574084 is 480475599598501.

The square root of 105895995574084 is 10290578.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31155129295684 + 74740866278400 = 5581678^2 + 8645280^2 .

It is a super-2 number, since 2×105895995574084² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105895995573995 and 105895995574013.

It is not an unprimeable number, because it can be changed into a prime (105895995574081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1255408342 + ... + 1255492690.

Almost surely, 2^{105895995574084} is an apocalyptic number.

105895995574084 is the 10290578-th square number.

It is an amenable number.

105895995574084 is a deficient number, since it is larger than the sum of its proper divisors (82512033502547).

105895995574084 is an frugal number, since it uses more digits than its factorization.

105895995574084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168824 (or 84412 counting only the distinct ones).

The product of its (nonzero) digits is 3265920000, while the sum is 79.

The spelling of 105895995574084 in words is "one hundred five trillion, eight hundred ninety-five billion, nine hundred ninety-five million, five hundred seventy-four thousand, eighty-four".