105126435553362 has 64 divisors (see below), whose sum is σ = 212048739302400. Its totient is φ = 34743718505664.

The previous prime is 105126435553351. The next prime is 105126435553379. The reversal of 105126435553362 is 263355534621501.

It is a super-2 number, since 2×105126435553362² (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 31 ways as a sum of consecutive naturals, for example, 2315384553 + ... + 2315429955.

It is an arithmetic number, because the mean of its divisors is an integer number (3313261551600).

Almost surely, 2^{105126435553362} is an apocalyptic number.

105126435553362 is an abundant number, since it is smaller than the sum of its proper divisors (106922303749038).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105126435553362 is a wasteful number, since it uses less digits than its factorization.

105126435553362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50207.

The product of its (nonzero) digits is 9720000, while the sum is 51.

The spelling of 105126435553362 in words is "one hundred five trillion, one hundred twenty-six billion, four hundred thirty-five million, five hundred fifty-three thousand, three hundred sixty-two".