105920346804 has 12 divisors (see below), whose sum is σ = 247147475904. Its totient is φ = 35306782264.

The previous prime is 105920346803. The next prime is 105920346821. The reversal of 105920346804 is 408643029501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-3 number, since 3×105920346804³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105920346803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4413347772 + ... + 4413347795.

It is an arithmetic number, because the mean of its divisors is an integer number (20595622992).

Almost surely, 2^105920346804 is an apocalyptic number.

It is an amenable number.

105920346804 is an abundant number, since it is smaller than the sum of its proper divisors (141227129100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105920346804 is a wasteful number, since it uses less digits than its factorization.

105920346804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8826695574 (or 8826695572 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 105920346804 in words is "one hundred five billion, nine hundred twenty million, three hundred forty-six thousand, eight hundred four".