105135126656 has 64 divisors (see below), whose sum is σ = 239494678080. Its totient is φ = 45034472448.

The previous prime is 105135126647. The next prime is 105135126697. The reversal of 105135126656 is 656621531501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105135126656² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750826 + ... + 1809878.

It is an arithmetic number, because the mean of its divisors is an integer number (3742104345).

Almost surely, 2^105135126656 is an apocalyptic number.

105135126656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105135126656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119747339040).

105135126656 is an abundant number, since it is smaller than the sum of its proper divisors (134359551424).

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

105135126656 is an equidigital number, since it uses as much as digits as its factorization.

105135126656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61061 (or 61049 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 105135126656 in words is "one hundred five billion, one hundred thirty-five million, one hundred twenty-six thousand, six hundred fifty-six".