106472133225 has 18 divisors (see below), whose sum is σ = 190703421246. Its totient is φ = 56785137600.

The previous prime is 106472133223. The next prime is 106472133241. The reversal of 106472133225 is 522331274601.

106472133225 is a `hidden beast` number, since 1 + 0 + 647 + 2 + 1 + 3 + 3 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 26026723584 + 80445409641 = 161328^2 + 283629^2 .

It is not a de Polignac number, because 106472133225 - 2¹ = 106472133223 is a prime.

It is a super-2 number, since 2×106472133225² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106472133225.

It is not an unprimeable number, because it can be changed into a prime (106472133223) 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 17 ways as a sum of consecutive naturals, for example, 236604516 + ... + 236604965.

Almost surely, 2^106472133225 is an apocalyptic number.

106472133225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106472133225 is a deficient number, since it is larger than the sum of its proper divisors (84231288021).

106472133225 is a wasteful number, since it uses less digits than its factorization.

106472133225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473209497 (or 473209489 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 106472133225 in words is "one hundred six billion, four hundred seventy-two million, one hundred thirty-three thousand, two hundred twenty-five".