105011312635042 has 64 divisors (see below), whose sum is σ = 181358303736960. Its totient is φ = 45100878451200.

The previous prime is 105011312635037. The next prime is 105011312635049. The reversal of 105011312635042 is 240536213110501.

It is a super-2 number, since 2×105011312635042² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011312634989 and 105011312635007.

It is not an unprimeable number, because it can be changed into a prime (105011312635049) 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, 427202292 + ... + 427448032.

It is an arithmetic number, because the mean of its divisors is an integer number (2833723495890).

Almost surely, 2^{105011312635042} is an apocalyptic number.

105011312635042 is a deficient number, since it is larger than the sum of its proper divisors (76346991101918).

105011312635042 is a wasteful number, since it uses less digits than its factorization.

105011312635042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248467.

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 105011312635042 its reverse (240536213110501), we get a palindrome (345547525745543).

The spelling of 105011312635042 in words is "one hundred five trillion, eleven billion, three hundred twelve million, six hundred thirty-five thousand, forty-two".