106116033201265 has 8 divisors (see below), whose sum is σ = 128150317803240. Its totient is φ = 84352107919872.

The previous prime is 106116033201223. The next prime is 106116033201301. The reversal of 106116033201265 is 562102330611601.

It can be written as a sum of positive squares in 4 ways, for example, as 2640101775921 + 103475931425344 = 1624839^2 + 10172312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106116033201265 - 2¹³ = 106116033193073 is a prime.

It is a super-2 number, since 2×106116033201265² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67589829280 + ... + 67589830849.

It is an arithmetic number, because the mean of its divisors is an integer number (16018789725405).

Almost surely, 2^{106116033201265} is an apocalyptic number.

It is an amenable number.

106116033201265 is a deficient number, since it is larger than the sum of its proper divisors (22034284601975).

106116033201265 is a wasteful number, since it uses less digits than its factorization.

106116033201265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135179660291.

The product of its (nonzero) digits is 38880, while the sum is 37.

Adding to 106116033201265 its reverse (562102330611601), we get a palindrome (668218363812866).

The spelling of 106116033201265 in words is "one hundred six trillion, one hundred sixteen billion, thirty-three million, two hundred one thousand, two hundred sixty-five".