106781073960959 has 16 divisors (see below), whose sum is σ = 112564134328800. Its totient is φ = 101014396614144.

The previous prime is 106781073960919. The next prime is 106781073961033. The reversal of 106781073960959 is 959069370187601.

It is a cyclic number.

It is not a de Polignac number, because 106781073960959 - 2⁸ = 106781073960703 is a prime.

It is a super-2 number, since 2×106781073960959² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106781073960892 and 106781073960901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106781073960919) 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, 45444497 + ... + 47736405.

It is an arithmetic number, because the mean of its divisors is an integer number (7035258395550).

Almost surely, 2^{106781073960959} is an apocalyptic number.

106781073960959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

106781073960959 is a deficient number, since it is larger than the sum of its proper divisors (5783060367841).

106781073960959 is a wasteful number, since it uses less digits than its factorization.

106781073960959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295482.

The product of its (nonzero) digits is 154314720, while the sum is 71.

The spelling of 106781073960959 in words is "one hundred six trillion, seven hundred eighty-one billion, seventy-three million, nine hundred sixty thousand, nine hundred fifty-nine".