105448206200000 has 168 divisors, whose sum is σ = 261586425928464. Its totient is φ = 42172479360000.

The previous prime is 105448206199951. The next prime is 105448206200021. The reversal of 105448206200000 is 2602844501.

It is a super-2 number, since 2×105448206200000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 105448206200000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1346560847 + ... + 1346639153.

It is an arithmetic number, because the mean of its divisors is an integer number (1557062059098).

Almost surely, 2^{105448206200000} is an apocalyptic number.

105448206200000 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 105448206200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130793212964232).

105448206200000 is an abundant number, since it is smaller than the sum of its proper divisors (156138219728464).

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

105448206200000 is an frugal number, since it uses more digits than its factorization.

105448206200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85077 (or 85047 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 105448206200000 in words is "one hundred five trillion, four hundred forty-eight billion, two hundred six million, two hundred thousand".