106246253565 has 12 divisors (see below), whose sum is σ = 184160172924. Its totient is φ = 56664668544.

The previous prime is 106246253551. The next prime is 106246253569. The reversal of 106246253565 is 565352642601.

106246253565 is a `hidden beast` number, since 1 + 0 + 6 + 24 + 62 + 5 + 3 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60408299961 + 45837953604 = 245781^2 + 214098^2 .

It is not a de Polignac number, because 106246253565 - 2⁴ = 106246253549 is a prime.

It is a super-2 number, since 2×106246253565² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 2361027857 = 106246253565 / (1 + 0 + 6 + 2 + 4 + 6 + 2 + 5 + 3 + 5 + 6 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 106246253565.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106246253569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180513884 + ... + 1180513973.

It is an arithmetic number, because the mean of its divisors is an integer number (15346681077).

Almost surely, 2^106246253565 is an apocalyptic number.

106246253565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106246253565 is a deficient number, since it is larger than the sum of its proper divisors (77913919359).

106246253565 is a wasteful number, since it uses less digits than its factorization.

106246253565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2361027868 (or 2361027865 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 106246253565 in words is "one hundred six billion, two hundred forty-six million, two hundred fifty-three thousand, five hundred sixty-five".