105410126260 has 96 divisors (see below), whose sum is σ = 231391157760. Its totient is φ = 40285959168.

The previous prime is 105410126257. The next prime is 105410126279. The reversal of 105410126260 is 62621014501.

It is a super-2 number, since 2×105410126260² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27570709 + ... + 27574531.

It is an arithmetic number, because the mean of its divisors is an integer number (2410324560).

Almost surely, 2^105410126260 is an apocalyptic number.

105410126260 is a gapful number since it is divisible by the number (10) 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 105410126260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115695578880).

105410126260 is an abundant number, since it is smaller than the sum of its proper divisors (125981031500).

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

105410126260 is a wasteful number, since it uses less digits than its factorization.

105410126260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4345 (or 4343 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The spelling of 105410126260 in words is "one hundred five billion, four hundred ten million, one hundred twenty-six thousand, two hundred sixty".