105993097625 has 8 divisors (see below), whose sum is σ = 132279385992. Its totient is φ = 84794478000.

The previous prime is 105993097621. The next prime is 105993097633. The reversal of 105993097625 is 526790399501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1989427609 + 104003670016 = 44603^2 + 322496^2 .

It is not a de Polignac number, because 105993097625 - 2² = 105993097621 is a prime.

It is a super-2 number, since 2×105993097625² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105993097621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 423972266 + ... + 423972515.

It is an arithmetic number, because the mean of its divisors is an integer number (16534923249).

Almost surely, 2^105993097625 is an apocalyptic number.

It is an amenable number.

105993097625 is a deficient number, since it is larger than the sum of its proper divisors (26286288367).

105993097625 is an frugal number, since it uses more digits than its factorization.

105993097625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847944796 (or 847944786 counting only the distinct ones).

The product of its (nonzero) digits is 4592700, while the sum is 56.

The spelling of 105993097625 in words is "one hundred five billion, nine hundred ninety-three million, ninety-seven thousand, six hundred twenty-five".