106367167440369 has 48 divisors (see below), whose sum is σ = 169266328857600. Its totient is φ = 63827689050720.

The previous prime is 106367167440353. The next prime is 106367167440389. The reversal of 106367167440369 is 963044761763601.

106367167440369 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 7 + 167 + 4 + 403 + 69 = 666.

106367167440369 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 106367167440369 - 2⁴ = 106367167440353 is a prime.

It is a super-2 number, since 2×106367167440369² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106367167440329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56410182 + ... + 58265280.

It is an arithmetic number, because the mean of its divisors is an integer number (3526381851200).

Almost surely, 2^{106367167440369} is an apocalyptic number.

It is an amenable number.

106367167440369 is a deficient number, since it is larger than the sum of its proper divisors (62899161417231).

106367167440369 is a wasteful number, since it uses less digits than its factorization.

106367167440369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860842 (or 1860839 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 63.

The spelling of 106367167440369 in words is "one hundred six trillion, three hundred sixty-seven billion, one hundred sixty-seven million, four hundred forty thousand, three hundred sixty-nine".