106365342769 has 9 divisors (see below), whose sum is σ = 123733768761. Its totient is φ = 91168336980.

The previous prime is 106365342767. The next prime is 106365342791. The reversal of 106365342769 is 967243563601.

It is a happy number.

The square root of 106365342769 is 326137.

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

It is not a de Polignac number, because 106365342769 - 2¹ = 106365342767 is a prime.

It is a super-2 number, since 2×106365342769² (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 (106365342763) 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, 2259664 + ... + 2306254.

It is an arithmetic number, because the mean of its divisors is an integer number (13748196529).

Almost surely, 2^106365342769 is an apocalyptic number.

106365342769 is the 326137-th square number.

106365342769 is the 163069-th centered octagonal number.

It is an amenable number.

106365342769 is a deficient number, since it is larger than the sum of its proper divisors (17368425992).

106365342769 is an frugal number, since it uses more digits than its factorization.

106365342769 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93196 (or 46598 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 52.

The spelling of 106365342769 in words is "one hundred six billion, three hundred sixty-five million, three hundred forty-two thousand, seven hundred sixty-nine".