106262780538517 has 16 divisors (see below), whose sum is σ = 114722101802880. Its totient is φ = 98124349153600.

The previous prime is 106262780538503. The next prime is 106262780538553. The reversal of 106262780538517 is 715835087262601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106262780538517 - 2¹¹ = 106262780536469 is a prime.

It is a super-2 number, since 2×106262780538517² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106262780538217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5976034 + ... + 15755587.

It is an arithmetic number, because the mean of its divisors is an integer number (7170131362680).

Almost surely, 2^{106262780538517} is an apocalyptic number.

It is an amenable number.

106262780538517 is a deficient number, since it is larger than the sum of its proper divisors (8459321264363).

106262780538517 is a wasteful number, since it uses less digits than its factorization.

106262780538517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21739004.

The product of its (nonzero) digits is 33868800, while the sum is 61.

The spelling of 106262780538517 in words is "one hundred six trillion, two hundred sixty-two billion, seven hundred eighty million, five hundred thirty-eight thousand, five hundred seventeen".