105352531132401 has 48 divisors (see below), whose sum is σ = 177671713849344. Its totient is φ = 58901954745312.

The previous prime is 105352531132379. The next prime is 105352531132411. The reversal of 105352531132401 is 104231135253501.

It is a happy number.

105352531132401 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 52 + 531 + 1 + 32 + 40 + 1 = 666.

It is not a de Polignac number, because 105352531132401 - 2⁵ = 105352531132369 is a prime.

It is a super-2 number, since 2×105352531132401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105352531132411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3760176 + ... + 14994798.

It is an arithmetic number, because the mean of its divisors is an integer number (3701494038528).

Almost surely, 2^{105352531132401} is an apocalyptic number.

It is an amenable number.

105352531132401 is a deficient number, since it is larger than the sum of its proper divisors (72319182716943).

105352531132401 is a wasteful number, since it uses less digits than its factorization.

105352531132401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11237850 (or 11237847 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 105352531132401 its reverse (104231135253501), we get a palindrome (209583666385902).

The spelling of 105352531132401 in words is "one hundred five trillion, three hundred fifty-two billion, five hundred thirty-one million, one hundred thirty-two thousand, four hundred one".