106716555625 has 45 divisors (see below), whose sum is σ = 135964339203. Its totient is φ = 83733336000.

The previous prime is 106716555613. The next prime is 106716555629. The reversal of 106716555625 is 526555617601.

It is a happy number.

The square root of 106716555625 is 326675.

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

It can be written as a sum of positive squares in 7 ways, for example, as 75692665129 + 31023890496 = 275123^2 + 176136^2 .

It is not a de Polignac number, because 106716555625 - 2¹⁹ = 106716031337 is a prime.

It is a super-2 number, since 2×106716555625² (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 (106716555629) 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 44 ways as a sum of consecutive naturals, for example, 596181786 + ... + 596181964.

Almost surely, 2^106716555625 is an apocalyptic number.

106716555625 is the 326675-th square number.

106716555625 is the 163338-th centered octagonal number.

It is an amenable number.

106716555625 is a deficient number, since it is larger than the sum of its proper divisors (29247783578).

106716555625 is an frugal number, since it uses more digits than its factorization.

106716555625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1890000, while the sum is 49.

Multiplying 106716555625 by its sum of digits (49), we get a square (5229111225625 = 2286725²).

The spelling of 106716555625 in words is "one hundred six billion, seven hundred sixteen million, five hundred fifty-five thousand, six hundred twenty-five".