106264916289 has 135 divisors (see below), whose sum is σ = 192958602993. Its totient is φ = 56189037744.

The previous prime is 106264916279. The next prime is 106264916299. The reversal of 106264916289 is 982619462601.

The square root of 106264916289 is 325983.

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

106264916289 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 4 + 9 + 1 + 628 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (106264916279) and next prime (106264916299).

It is not a de Polignac number, because 106264916289 - 2¹¹ = 106264914241 is a prime.

It is a super-2 number, since 2×106264916289² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106264916209) 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 134 ways as a sum of consecutive naturals, for example, 2471277102 + ... + 2471277144.

Almost surely, 2^106264916289 is an apocalyptic number.

106264916289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106264916289 is the 325983-rd square number.

106264916289 is the 162992-nd centered octagonal number.

It is an amenable number.

106264916289 is a deficient number, since it is larger than the sum of its proper divisors (86693686704).

106264916289 is an frugal number, since it uses more digits than its factorization.

106264916289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 106264916289 in words is "one hundred six billion, two hundred sixty-four million, nine hundred sixteen thousand, two hundred eighty-nine".