105534205101444 has 48 divisors (see below), whose sum is σ = 297978932055168. Its totient is φ = 28378945909248.

The previous prime is 105534205101419. The next prime is 105534205101469. The reversal of 105534205101444 is 444101502435501.

It is an interprime number because it is at equal distance from previous prime (105534205101419) and next prime (105534205101469).

It is a super-2 number, since 2×105534205101444² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36951751059 + ... + 36951753914.

It is an arithmetic number, because the mean of its divisors is an integer number (6207894417816).

Almost surely, 2^{105534205101444} is an apocalyptic number.

105534205101444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105534205101444 is an abundant number, since it is smaller than the sum of its proper divisors (192444726953724).

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

105534205101444 is a wasteful number, since it uses less digits than its factorization.

105534205101444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73903505004 (or 73903505002 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 39.

Adding to 105534205101444 its reverse (444101502435501), we get a palindrome (549635707536945).

The spelling of 105534205101444 in words is "one hundred five trillion, five hundred thirty-four billion, two hundred five million, one hundred one thousand, four hundred forty-four".