105361254144 has 432 divisors, whose sum is σ = 338771317248. Its totient is φ = 32539262976.

The previous prime is 105361254137. The next prime is 105361254169. The reversal of 105361254144 is 441452163501.

105361254144 is a `hidden beast` number, since 1 + 0 + 5 + 361 + 254 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×105361254144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105361254099 and 105361254108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70854169 + ... + 70855655.

It is an arithmetic number, because the mean of its divisors is an integer number (784192864).

Almost surely, 2^105361254144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105361254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169385658624).

105361254144 is an abundant number, since it is smaller than the sum of its proper divisors (233410063104).

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

105361254144 is an equidigital number, since it uses as much as digits as its factorization.

105361254144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1576 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 105361254144 in words is "one hundred five billion, three hundred sixty-one million, two hundred fifty-four thousand, one hundred forty-four".