106072313125 has 10 divisors (see below), whose sum is σ = 132547963262. Its totient is φ = 84857850000.

The previous prime is 106072313117. The next prime is 106072313173. The reversal of 106072313125 is 521313270601.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 54995409121 + 51076904004 = 234511^2 + 226002^2 .

It is not a de Polignac number, because 106072313125 - 2³ = 106072313117 is a prime.

It is a super-2 number, since 2×106072313125² (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 (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84857226 + ... + 84858475.

Almost surely, 2^106072313125 is an apocalyptic number.

It is an amenable number.

106072313125 is a deficient number, since it is larger than the sum of its proper divisors (26475650137).

106072313125 is an frugal number, since it uses more digits than its factorization.

106072313125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169715721 (or 169715706 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

Adding to 106072313125 its reverse (521313270601), we get a palindrome (627385583726).

The spelling of 106072313125 in words is "one hundred six billion, seventy-two million, three hundred thirteen thousand, one hundred twenty-five".