105344260060 has 192 divisors, whose sum is σ = 277080652800. Its totient is φ = 33173065728.

The previous prime is 105344259967. The next prime is 105344260061. The reversal of 105344260060 is 60062443501.

It is a super-2 number, since 2×105344260060² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105344260061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1904271 + ... + 1958809.

It is an arithmetic number, because the mean of its divisors is an integer number (1443128400).

Almost surely, 2^105344260060 is an apocalyptic number.

105344260060 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 105344260060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138540326400).

105344260060 is an abundant number, since it is smaller than the sum of its proper divisors (171736392740).

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

105344260060 is a wasteful number, since it uses less digits than its factorization.

105344260060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54620 (or 54618 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 105344260060 in words is "one hundred five billion, three hundred forty-four million, two hundred sixty thousand, sixty".