105400441323 has 16 divisors (see below), whose sum is σ = 156490502560. Its totient is φ = 70113195648.

The previous prime is 105400441313. The next prime is 105400441351. The reversal of 105400441323 is 323144004501.

It is a happy number.

It is not a de Polignac number, because 105400441323 - 2⁶ = 105400441259 is a prime.

It is a super-2 number, since 2×105400441323² (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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105400441313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4258690 + ... + 4283367.

It is an arithmetic number, because the mean of its divisors is an integer number (9780656410).

Almost surely, 2^105400441323 is an apocalyptic number.

105400441323 is a deficient number, since it is larger than the sum of its proper divisors (51090061237).

105400441323 is an equidigital number, since it uses as much as digits as its factorization.

105400441323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8542523 (or 8542517 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 105400441323 its reverse (323144004501), we get a palindrome (428544445824).

The spelling of 105400441323 in words is "one hundred five billion, four hundred million, four hundred forty-one thousand, three hundred twenty-three".