105653401353 has 32 divisors (see below), whose sum is σ = 159709182720. Its totient is φ = 69011066880.

The previous prime is 105653401267. The next prime is 105653401363. The reversal of 105653401353 is 353104356501.

105653401353 is a `hidden beast` number, since 1 + 0 + 565 + 3 + 40 + 1 + 3 + 53 = 666.

It is not a de Polignac number, because 105653401353 - 2⁸ = 105653401097 is a prime.

It is a super-2 number, since 2×105653401353² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105653401363) 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, 298476 + ... + 548082.

It is an arithmetic number, because the mean of its divisors is an integer number (4990911960).

Almost surely, 2^105653401353 is an apocalyptic number.

It is an amenable number.

105653401353 is a deficient number, since it is larger than the sum of its proper divisors (54055781367).

105653401353 is a wasteful number, since it uses less digits than its factorization.

105653401353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249934 (or 249928 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 105653401353 its reverse (353104356501), we get a palindrome (458757757854).

The spelling of 105653401353 in words is "one hundred five billion, six hundred fifty-three million, four hundred one thousand, three hundred fifty-three".