106566338025 has 81 divisors (see below), whose sum is σ = 222106392261. Its totient is φ = 48700370880.

The previous prime is 106566337987. The next prime is 106566338029. The reversal of 106566338025 is 520833665601.

The square root of 106566338025 is 326445.

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

106566338025 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 6 + 633 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23843374569 + 82722963456 = 154413^2 + 287616^2 .

It is not a de Polignac number, because 106566338025 - 2¹¹ = 106566335977 is a prime.

It is a super-2 number, since 2×106566338025² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106566338029) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 34275171 + ... + 34278279.

Almost surely, 2^106566338025 is an apocalyptic number.

106566338025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106566338025 is the 326445-th square number.

106566338025 is the 163223-rd centered octagonal number.

It is an amenable number.

106566338025 is an abundant number, since it is smaller than the sum of its proper divisors (115540054236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106566338025 is an frugal number, since it uses more digits than its factorization.

106566338025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6248 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 106566338025 in words is "one hundred six billion, five hundred sixty-six million, three hundred thirty-eight thousand, twenty-five".