106533696025 has 27 divisors (see below), whose sum is σ = 136874900253. Its totient is φ = 82251540000.

The previous prime is 106533696011. The next prime is 106533696043. The reversal of 106533696025 is 520696335601.

It is a happy number.

The square root of 106533696025 is 326395.

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 1464363289 + 105069332736 = 38267^2 + 324144^2 .

It is not a de Polignac number, because 106533696025 - 2⁵ = 106533695993 is a prime.

It is a super-2 number, since 2×106533696025² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 47326150 + ... + 47328400.

Almost surely, 2^106533696025 is an apocalyptic number.

106533696025 is the 326395-th square number.

106533696025 is the 163198-th centered octagonal number.

It is an amenable number.

106533696025 is a deficient number, since it is larger than the sum of its proper divisors (30341204228).

106533696025 is an frugal number, since it uses more digits than its factorization.

106533696025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4570 (or 2285 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 46.

The spelling of 106533696025 in words is "one hundred six billion, five hundred thirty-three million, six hundred ninety-six thousand, twenty-five".