105420681044 has 48 divisors (see below), whose sum is σ = 223906580352. Its totient is φ = 42396383232.

The previous prime is 105420681029. The next prime is 105420681049. The reversal of 105420681044 is 440186024501.

105420681044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105420681044² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105420680995 and 105420681013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105420681049) 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, 168182 + ... + 489005.

It is an arithmetic number, because the mean of its divisors is an integer number (4664720424).

Almost surely, 2^105420681044 is an apocalyptic number.

105420681044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105420681044 is an abundant number, since it is smaller than the sum of its proper divisors (118485899308).

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

105420681044 is a wasteful number, since it uses less digits than its factorization.

105420681044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657552 (or 657550 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The spelling of 105420681044 in words is "one hundred five billion, four hundred twenty million, six hundred eighty-one thousand, forty-four".