105055446400 has 96 divisors (see below), whose sum is σ = 268468977600. Its totient is φ = 40573102080.

The previous prime is 105055446367. The next prime is 105055446403. The reversal of 105055446400 is 4644550501.

It is a super-2 number, since 2×105055446400² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105055446403) 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 11 ways as a sum of consecutive naturals, for example, 473232 + ... + 658831.

It is an arithmetic number, because the mean of its divisors is an integer number (2796551850).

Almost surely, 2^105055446400 is an apocalyptic number.

105055446400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105055446400 is an abundant number, since it is smaller than the sum of its proper divisors (163413531200).

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

105055446400 is a wasteful number, since it uses less digits than its factorization.

105055446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132116 (or 1132099 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

Adding to 105055446400 its reverse (4644550501), we get a palindrome (109699996901).

The spelling of 105055446400 in words is "one hundred five billion, fifty-five million, four hundred forty-six thousand, four hundred".