106297517089 has 9 divisors (see below), whose sum is σ = 107686180497. Its totient is φ = 104926548324.

The previous prime is 106297517003. The next prime is 106297517119. The reversal of 106297517089 is 980715792601.

It is a happy number.

The square root of 106297517089 is 326033.

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

It is not a de Polignac number, because 106297517089 - 2⁷ = 106297516961 is a prime.

It is a super-2 number, since 2×106297517089² (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 (106297517789) 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 8 ways as a sum of consecutive naturals, for example, 25754544 + ... + 25758670.

Almost surely, 2^106297517089 is an apocalyptic number.

106297517089 is the 326033-rd square number.

106297517089 is the 163017-th centered octagonal number.

It is an amenable number.

106297517089 is a deficient number, since it is larger than the sum of its proper divisors (1388663408).

106297517089 is an frugal number, since it uses more digits than its factorization.

106297517089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8412 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 55.

The spelling of 106297517089 in words is "one hundred six billion, two hundred ninety-seven million, five hundred seventeen thousand, eighty-nine".