106200341676025 has 27 divisors (see below), whose sum is σ = 131914160957901. Its totient is φ = 84814885392480.

The previous prime is 106200341676017. The next prime is 106200341676029. The reversal of 106200341676025 is 520676143002601.

The square root of 106200341676025 is 10305355.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 15230768569 + 106185110907456 = 123413^2 + 10304616^2 .

It is not a de Polignac number, because 106200341676025 - 2³ = 106200341676017 is a prime.

It is a super-2 number, since 2×106200341676025² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106200341676029) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38078285331 + ... + 38078288119.

Almost surely, 2^{106200341676025} is an apocalyptic number.

106200341676025 is the 10305355-th square number.

106200341676025 is the 5152678-th centered octagonal number.

It is an amenable number.

106200341676025 is a deficient number, since it is larger than the sum of its proper divisors (25713819281876).

106200341676025 is an frugal number, since it uses more digits than its factorization.

106200341676025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7066 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

Adding to 106200341676025 its reverse (520676143002601), we get a palindrome (626876484678626).

The spelling of 106200341676025 in words is "one hundred six trillion, two hundred billion, three hundred forty-one million, six hundred seventy-six thousand, twenty-five".