105164044525340 has 96 divisors (see below), whose sum is σ = 240363427449600. Its totient is φ = 38516284961280.

The previous prime is 105164044525277. The next prime is 105164044525363. The reversal of 105164044525340 is 43525440461501.

It is a happy number.

105164044525340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105164044525340² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105164044525291 and 105164044525300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29874710 + ... + 33208829.

It is an arithmetic number, because the mean of its divisors is an integer number (2503785702600).

Almost surely, 2^{105164044525340} is an apocalyptic number.

105164044525340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105164044525340 is an abundant number, since it is smaller than the sum of its proper divisors (135199382924260).

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

105164044525340 is a wasteful number, since it uses less digits than its factorization.

105164044525340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63083715 (or 63083713 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 44.

Adding to 105164044525340 its reverse (43525440461501), we get a palindrome (148689484986841).

The spelling of 105164044525340 in words is "one hundred five trillion, one hundred sixty-four billion, forty-four million, five hundred twenty-five thousand, three hundred forty".