105455314368 has 112 divisors (see below), whose sum is σ = 310445769760. Its totient is φ = 35103393792.

The previous prime is 105455314361. The next prime is 105455314369. The reversal of 105455314368 is 863413554501.

105455314368 is a `hidden beast` number, since 1 + 0 + 54 + 5 + 531 + 4 + 3 + 68 = 666.

It is a super-2 number, since 2×105455314368² (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 (105455314361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1224996 + ... + 1308252.

It is an arithmetic number, because the mean of its divisors is an integer number (2771837230).

Almost surely, 2^105455314368 is an apocalyptic number.

105455314368 is a gapful number since it is divisible by the number (18) 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 105455314368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155222884880).

105455314368 is an abundant number, since it is smaller than the sum of its proper divisors (204990455392).

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

105455314368 is an equidigital number, since it uses as much as digits as its factorization.

105455314368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84011 (or 83995 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Adding to 105455314368 its reverse (863413554501), we get a palindrome (968868868869).

The spelling of 105455314368 in words is "one hundred five billion, four hundred fifty-five million, three hundred fourteen thousand, three hundred sixty-eight".