105244304100 has 144 divisors (see below), whose sum is σ = 345190198080. Its totient is φ = 24542784000.

The previous prime is 105244304083. The next prime is 105244304117. The reversal of 105244304100 is 1403442501.

105244304100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (105244304083) and next prime (105244304117).

It is a super-2 number, since 2×105244304100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636051 + ... + 784250.

Almost surely, 2^105244304100 is an apocalyptic number.

105244304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105244304100 is an abundant number, since it is smaller than the sum of its proper divisors (239945893980).

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

105244304100 is a wasteful number, since it uses less digits than its factorization.

105244304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420350 (or 1420343 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 105244304100 its reverse (1403442501), we get a palindrome (106647746601).

The spelling of 105244304100 in words is "one hundred five billion, two hundred forty-four million, three hundred four thousand, one hundred".