105232013353444 has 48 divisors (see below), whose sum is σ = 196351331687280. Its totient is φ = 49252740526080.

The previous prime is 105232013353409. The next prime is 105232013353501. The reversal of 105232013353444 is 444353310232501.

It can be written as a sum of positive squares in 8 ways, for example, as 418195022400 + 104813818331044 = 646680^2 + 10237862^2 .

It is a super-2 number, since 2×105232013353444² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105232013353397 and 105232013353406.

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, 42420597 + ... + 44832700.

It is an arithmetic number, because the mean of its divisors is an integer number (4090652743485).

Almost surely, 2^{105232013353444} is an apocalyptic number.

It is an amenable number.

105232013353444 is a deficient number, since it is larger than the sum of its proper divisors (91119318333836).

105232013353444 is a wasteful number, since it uses less digits than its factorization.

105232013353444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87253648 (or 87253646 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

Adding to 105232013353444 its reverse (444353310232501), we get a palindrome (549585323585945).

The spelling of 105232013353444 in words is "one hundred five trillion, two hundred thirty-two billion, thirteen million, three hundred fifty-three thousand, four hundred forty-four".