105426213620 has 72 divisors (see below), whose sum is σ = 277352072424. Its totient is φ = 33365654784.

The previous prime is 105426213553. The next prime is 105426213623. The reversal of 105426213620 is 26312624501.

It can be written as a sum of positive squares in 4 ways, for example, as 2982688996 + 102443524624 = 54614^2 + 320068^2 .

It is a super-2 number, since 2×105426213620² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105426213623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4124867 + ... + 4150346.

It is an arithmetic number, because the mean of its divisors is an integer number (3852112117).

Almost surely, 2^105426213620 is an apocalyptic number.

105426213620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105426213620 is an abundant number, since it is smaller than the sum of its proper divisors (171925858804).

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

105426213620 is a wasteful number, since it uses less digits than its factorization.

105426213620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275249 (or 8275240 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 105426213620 in words is "one hundred five billion, four hundred twenty-six million, two hundred thirteen thousand, six hundred twenty".