105400542305244 has 24 divisors (see below), whose sum is σ = 245958869656080. Its totient is φ = 35130046824064.

The previous prime is 105400542305141. The next prime is 105400542305251. The reversal of 105400542305244 is 442503245004501.

105400542305244 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 2×105400542305244² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433283049 + ... + 433526240.

It is an arithmetic number, because the mean of its divisors is an integer number (10248286235670).

Almost surely, 2^{105400542305244} is an apocalyptic number.

It is an amenable number.

105400542305244 is an abundant number, since it is smaller than the sum of its proper divisors (140558327350836).

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

105400542305244 is a wasteful number, since it uses less digits than its factorization.

105400542305244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866819429 (or 866819427 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 105400542305244 its reverse (442503245004501), we get a palindrome (547903787309745).

The spelling of 105400542305244 in words is "one hundred five trillion, four hundred billion, five hundred forty-two million, three hundred five thousand, two hundred forty-four".