106776672289 has 9 divisors (see below), whose sum is σ = 124212259251. Its totient is φ = 91520901360.

The previous prime is 106776672287. The next prime is 106776672329. The reversal of 106776672289 is 982276677601.

It is a happy number.

The square root of 106776672289 is 326767.

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

It can be written as a sum of positive squares in only one way, i.e., 106548057889 + 228614400 = 326417^2 + 15120^2 .

It is not a de Polignac number, because 106776672289 - 2¹ = 106776672287 is a prime.

It is a super-2 number, since 2×106776672289² (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 (106776672287) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2264029 + ... + 2310709.

It is an arithmetic number, because the mean of its divisors is an integer number (13801362139).

Almost surely, 2^106776672289 is an apocalyptic number.

106776672289 is the 326767-th square number.

106776672289 is the 163384-th centered octagonal number.

It is an amenable number.

106776672289 is a deficient number, since it is larger than the sum of its proper divisors (17435586962).

106776672289 is an frugal number, since it uses more digits than its factorization.

106776672289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93376 (or 46688 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 61.

The spelling of 106776672289 in words is "one hundred six billion, seven hundred seventy-six million, six hundred seventy-two thousand, two hundred eighty-nine".