105153720135626 has 128 divisors (see below), whose sum is σ = 176804890214400. Its totient is φ = 46727061511680.

The previous prime is 105153720135619. The next prime is 105153720135671. The reversal of 105153720135626 is 626531027351501.

It is a super-2 number, since 2×105153720135626² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361974195 + ... + 2362018713.

It is an arithmetic number, because the mean of its divisors is an integer number (1381288204800).

Almost surely, 2^{105153720135626} is an apocalyptic number.

105153720135626 is a deficient number, since it is larger than the sum of its proper divisors (71651170078774).

105153720135626 is a wasteful number, since it uses less digits than its factorization.

105153720135626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45204.

The product of its (nonzero) digits is 1134000, while the sum is 47.

The spelling of 105153720135626 in words is "one hundred five trillion, one hundred fifty-three billion, seven hundred twenty million, one hundred thirty-five thousand, six hundred twenty-six".