106972822489 has 27 divisors (see below), whose sum is σ = 117321981309. Its totient is φ = 97492131360.

The previous prime is 106972822457. The next prime is 106972822499. The reversal of 106972822489 is 984228279601.

It is a happy number.

The square root of 106972822489 is 327067.

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

It can be written as a sum of positive squares in 4 ways, for example, as 82389091225 + 24583731264 = 287035^2 + 156792^2 .

It is not a de Polignac number, because 106972822489 - 2⁵ = 106972822457 is a prime.

It is a super-2 number, since 2×106972822489² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106972822499) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 591009979 + ... + 591010159.

It is an arithmetic number, because the mean of its divisors is an integer number (4345258567).

Almost surely, 2^106972822489 is an apocalyptic number.

106972822489 is the 327067-th square number.

106972822489 is the 163534-th centered octagonal number.

It is an amenable number.

106972822489 is a deficient number, since it is larger than the sum of its proper divisors (10349158820).

106972822489 is an frugal number, since it uses more digits than its factorization.

106972822489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 58.

The spelling of 106972822489 in words is "one hundred six billion, nine hundred seventy-two million, eight hundred twenty-two thousand, four hundred eighty-nine".