105123795984 has 135 divisors (see below), whose sum is σ = 302009547229. Its totient is φ = 34134723840.

The previous prime is 105123795977. The next prime is 105123795989. The reversal of 105123795984 is 489597321501.

It is a happy number.

The square root of 105123795984 is 324228.

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

105123795984 is a `hidden beast` number, since 1 + 0 + 5 + 12 + 37 + 9 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5065453584 + 100058342400 = 71172^2 + 316320^2 .

It is a super-2 number, since 2×105123795984² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105123795984.

It is not an unprimeable number, because it can be changed into a prime (105123795989) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 159519847 + ... + 159520505.

Almost surely, 2^105123795984 is an apocalyptic number.

105123795984 is the 324228-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105123795984

105123795984 is an abundant number, since it is smaller than the sum of its proper divisors (196885751245).

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

105123795984 is an frugal number, since it uses more digits than its factorization.

105123795984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 105123795984 in words is "one hundred five billion, one hundred twenty-three million, seven hundred ninety-five thousand, nine hundred eighty-four".