106512016465313 has 16 divisors (see below), whose sum is σ = 108304436814336. Its totient is φ = 104731943095680.

The previous prime is 106512016465277. The next prime is 106512016465367. The reversal of 106512016465313 is 313564610215601.

It is a cyclic number.

It is not a de Polignac number, because 106512016465313 - 2¹² = 106512016461217 is a prime.

It is a super-2 number, since 2×106512016465313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106512016465013) 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, 77370143 + ... + 78734763.

It is an arithmetic number, because the mean of its divisors is an integer number (6769027300896).

Almost surely, 2^{106512016465313} is an apocalyptic number.

It is an amenable number.

106512016465313 is a deficient number, since it is larger than the sum of its proper divisors (1792420349023).

106512016465313 is a wasteful number, since it uses less digits than its factorization.

106512016465313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369144.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 106512016465313 in words is "one hundred six trillion, five hundred twelve billion, sixteen million, four hundred sixty-five thousand, three hundred thirteen".