105444050400 has 1440 divisors, whose sum is σ = 452586657600. Its totient is φ = 23648993280.

The previous prime is 105444050377. The next prime is 105444050419. The reversal of 105444050400 is 4050444501.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×105444050400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 529869501 + ... + 529869699.

It is an arithmetic number, because the mean of its divisors is an integer number (314296290).

Almost surely, 2^105444050400 is an apocalyptic number.

105444050400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105444050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226293328800).

105444050400 is an abundant number, since it is smaller than the sum of its proper divisors (347142607200).

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

105444050400 is a wasteful number, since it uses less digits than its factorization.

105444050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 105444050400 its reverse (4050444501), we get a palindrome (109494494901).

The spelling of 105444050400 in words is "one hundred five billion, four hundred forty-four million, fifty thousand, four hundred".