105444134370 has 64 divisors (see below), whose sum is σ = 281292099840. Its totient is φ = 28107661824.

The previous prime is 105444134321. The next prime is 105444134371. The reversal of 105444134370 is 73431444501.

105444134370 is a `hidden beast` number, since 1 + 0 + 544 + 4 + 1 + 3 + 43 + 70 = 666.

It is a super-3 number, since 3×105444134370³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105444134371) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643899 + ... + 790881.

It is an arithmetic number, because the mean of its divisors is an integer number (4395189060).

Almost surely, 2^105444134370 is an apocalyptic number.

105444134370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105444134370 is an abundant number, since it is smaller than the sum of its proper divisors (175847965470).

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

105444134370 is a wasteful number, since it uses less digits than its factorization.

105444134370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149656 (or 149650 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

Adding to 105444134370 its reverse (73431444501), we get a palindrome (178875578871).

The spelling of 105444134370 in words is "one hundred five billion, four hundred forty-four million, one hundred thirty-four thousand, three hundred seventy".