106775365225 has 9 divisors (see below), whose sum is σ = 132403478853. Its totient is φ = 85418985120.

The previous prime is 106775365223. The next prime is 106775365253. The reversal of 106775365225 is 522563577601.

It is a happy number.

The square root of 106775365225 is 326765.

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 9658368729 + 97116996496 = 98277^2 + 311636^2 .

It is not a de Polignac number, because 106775365225 - 2¹ = 106775365223 is a prime.

It is a super-2 number, since 2×106775365225² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106775365223) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 1601149 + ... + 1666501.

Almost surely, 2^106775365225 is an apocalyptic number.

106775365225 is the 326765-th square number.

106775365225 is the 163383-rd centered octagonal number.

It is an amenable number.

106775365225 is a deficient number, since it is larger than the sum of its proper divisors (25628113628).

106775365225 is an frugal number, since it uses more digits than its factorization.

106775365225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130716 (or 65358 counting only the distinct ones).

The product of its (nonzero) digits is 2646000, while the sum is 49.

Multiplying 106775365225 by its sum of digits (49), we get a square (5231992896025 = 2287355²).

The spelling of 106775365225 in words is "one hundred six billion, seven hundred seventy-five million, three hundred sixty-five thousand, two hundred twenty-five".