105444103442400 has 108 divisors (see below), whose sum is σ = 371822269789152. Its totient is φ = 28118427582720.

The previous prime is 105444103442369. The next prime is 105444103442417. The reversal of 105444103442400 is 4244301444501.

105444103442400 is a `hidden beast` number, since 1 + 0 + 544 + 4 + 1 + 0 + 34 + 42 + 40 + 0 = 666.

It is a super-2 number, since 2×105444103442400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7322499984 + ... + 7322514383.

It is an arithmetic number, because the mean of its divisors is an integer number (3442798794344).

Almost surely, 2^{105444103442400} is an apocalyptic number.

105444103442400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105444103442400 is an abundant number, since it is smaller than the sum of its proper divisors (266378166346752).

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

105444103442400 is a wasteful number, since it uses less digits than its factorization.

105444103442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14645014393 (or 14645014377 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 105444103442400 its reverse (4244301444501), we get a palindrome (109688404886901).

The spelling of 105444103442400 in words is "one hundred five trillion, four hundred forty-four billion, one hundred three million, four hundred forty-two thousand, four hundred".