106705035413 has 16 divisors (see below), whose sum is σ = 113737732416. Its totient is φ = 99758496000.

The previous prime is 106705035401. The next prime is 106705035421. The reversal of 106705035413 is 314530507601.

It is a cyclic number.

It is not a de Polignac number, because 106705035413 - 2¹⁸ = 106704773269 is a prime.

It is a super-2 number, since 2×106705035413² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106705005413) 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, 1558070 + ... + 1625112.

It is an arithmetic number, because the mean of its divisors is an integer number (7108608276).

Almost surely, 2^106705035413 is an apocalyptic number.

It is an amenable number.

106705035413 is a deficient number, since it is larger than the sum of its proper divisors (7032697003).

106705035413 is a wasteful number, since it uses less digits than its factorization.

106705035413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67684.

The product of its (nonzero) digits is 37800, while the sum is 35.

The spelling of 106705035413 in words is "one hundred six billion, seven hundred five million, thirty-five thousand, four hundred thirteen".