106730929809 has 81 divisors (see below), whose sum is σ = 183789119241. Its totient is φ = 59511125520.

The previous prime is 106730929777. The next prime is 106730929817. The reversal of 106730929809 is 908929037601.

The square root of 106730929809 is 326697.

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

It is not a de Polignac number, because 106730929809 - 2⁵ = 106730929777 is a prime.

It is a super-2 number, since 2×106730929809² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106730929009) 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 80 ways as a sum of consecutive naturals, for example, 322449774 + ... + 322450104.

Almost surely, 2^106730929809 is an apocalyptic number.

106730929809 is the 326697-th square number.

106730929809 is the 163349-th centered octagonal number.

It is an amenable number.

106730929809 is a deficient number, since it is larger than the sum of its proper divisors (77058189432).

106730929809 is an frugal number, since it uses more digits than its factorization.

106730929809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 106730929809 in words is "one hundred six billion, seven hundred thirty million, nine hundred twenty-nine thousand, eight hundred nine".