106069416489 has 15 divisors (see below), whose sum is σ = 158453753997. Its totient is φ = 70710990228.

The previous prime is 106069416461. The next prime is 106069416527. The reversal of 106069416489 is 984614960601.

It is a happy number.

The square root of 106069416489 is 325683.

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

106069416489 is a `hidden beast` number, since 1 + 0 + 60 + 6 + 94 + 16 + 489 = 666.

It is not a de Polignac number, because 106069416489 - 2¹¹ = 106069414441 is a prime.

It is a super-2 number, since 2×106069416489² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106069416419) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2913054 + ... + 2949240.

Almost surely, 2^106069416489 is an apocalyptic number.

106069416489 is the 325683-rd square number.

106069416489 is the 162842-nd centered octagonal number.

It is an amenable number.

106069416489 is a deficient number, since it is larger than the sum of its proper divisors (52384337508).

106069416489 is an frugal number, since it uses more digits than its factorization.

106069416489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72386 (or 36190 counting only the distinct ones).

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

The spelling of 106069416489 in words is "one hundred six billion, sixty-nine million, four hundred sixteen thousand, four hundred eighty-nine".