105354200020 has 24 divisors (see below), whose sum is σ = 222653022984. Its totient is φ = 41873260416.

The previous prime is 105354199999. The next prime is 105354200027. The reversal of 105354200020 is 20002453501.

It can be written as a sum of positive squares in 4 ways, for example, as 24682295236 + 80671904784 = 157106^2 + 284028^2 .

It is a super-2 number, since 2×105354200020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354199964 and 105354200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105354200027) 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 7 ways as a sum of consecutive naturals, for example, 16773007 + ... + 16779286.

It is an arithmetic number, because the mean of its divisors is an integer number (9277209291).

Almost surely, 2^105354200020 is an apocalyptic number.

105354200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105354200020 is an abundant number, since it is smaller than the sum of its proper divisors (117298822964).

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

105354200020 is a wasteful number, since it uses less digits than its factorization.

105354200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33552459 (or 33552457 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 105354200020 its reverse (20002453501), we get a palindrome (125356653521).

The spelling of 105354200020 in words is "one hundred five billion, three hundred fifty-four million, two hundred thousand, twenty".