106259310125 has 8 divisors (see below), whose sum is σ = 132611619192. Its totient is φ = 85007448000.

The previous prime is 106259310103. The next prime is 106259310181. The reversal of 106259310125 is 521013952601.

It can be written as a sum of positive squares in 4 ways, for example, as 32064632356 + 74194677769 = 179066^2 + 272387^2 .

It is a de Polignac number, because none of the positive numbers 2^k-106259310125 is a prime.

It is a super-2 number, since 2×106259310125² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 425037116 + ... + 425037365.

It is an arithmetic number, because the mean of its divisors is an integer number (16576452399).

Almost surely, 2^106259310125 is an apocalyptic number.

It is an amenable number.

106259310125 is a deficient number, since it is larger than the sum of its proper divisors (26352309067).

106259310125 is an frugal number, since it uses more digits than its factorization.

106259310125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850074496 (or 850074486 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 106259310125 in words is "one hundred six billion, two hundred fifty-nine million, three hundred ten thousand, one hundred twenty-five".