106105100125 has 16 divisors (see below), whose sum is σ = 132968659824. Its totient is φ = 84531840000.

The previous prime is 106105100119. The next prime is 106105100159. The reversal of 106105100125 is 521001501601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35343248004 + 70761852121 = 187998^2 + 266011^2 .

It is not a de Polignac number, because 106105100125 - 2³ = 106105100117 is a prime.

It is a super-2 number, since 2×106105100125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106105100096 and 106105100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1730956 + ... + 1791205.

It is an arithmetic number, because the mean of its divisors is an integer number (8310541239).

Almost surely, 2^106105100125 is an apocalyptic number.

It is an amenable number.

106105100125 is a deficient number, since it is larger than the sum of its proper divisors (26863559699).

106105100125 is an equidigital number, since it uses as much as digits as its factorization.

106105100125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522417 (or 3522407 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 22.

Adding to 106105100125 its reverse (521001501601), we get a palindrome (627106601726).

The spelling of 106105100125 in words is "one hundred six billion, one hundred five million, one hundred thousand, one hundred twenty-five".