106753116005683 has 16 divisors (see below), whose sum is σ = 124274930754240. Its totient is φ = 89814152710656.

The previous prime is 106753116005677. The next prime is 106753116005707. The reversal of 106753116005683 is 386500611357601.

It is a cyclic number.

It is not a de Polignac number, because 106753116005683 - 2⁹ = 106753116005171 is a prime.

It is a super-2 number, since 2×106753116005683² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106753116005683.

It is not an unprimeable number, because it can be changed into a prime (106753116005603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 625291716 + ... + 625462417.

It is an arithmetic number, because the mean of its divisors is an integer number (7767183172140).

Almost surely, 2^{106753116005683} is an apocalyptic number.

106753116005683 is a deficient number, since it is larger than the sum of its proper divisors (17521814748557).

106753116005683 is a wasteful number, since it uses less digits than its factorization.

106753116005683 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250754366.

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 106753116005683 in words is "one hundred six trillion, seven hundred fifty-three billion, one hundred sixteen million, five thousand, six hundred eighty-three".