106051416125 has 16 divisors (see below), whose sum is σ = 134165222256. Its totient is φ = 83678918400.

The previous prime is 106051416103. The next prime is 106051416127. The reversal of 106051416125 is 521614150601.

It can be written as a sum of positive squares in 8 ways, for example, as 49283112004 + 56768304121 = 221998^2 + 238261^2 .

It is not a de Polignac number, because 106051416125 - 2³⁰ = 104977674301 is a prime.

It is a super-2 number, since 2×106051416125² (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 = 106051416091 and 106051416100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106051416127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5801912 + ... + 5820161.

It is an arithmetic number, because the mean of its divisors is an integer number (8385326391).

Almost surely, 2^106051416125 is an apocalyptic number.

It is an amenable number.

106051416125 is a deficient number, since it is larger than the sum of its proper divisors (28113806131).

106051416125 is an equidigital number, since it uses as much as digits as its factorization.

106051416125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11622161 (or 11622151 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

Adding to 106051416125 its reverse (521614150601), we get a palindrome (627665566726).

The spelling of 106051416125 in words is "one hundred six billion, fifty-one million, four hundred sixteen thousand, one hundred twenty-five".