105953806080 has 720 divisors, whose sum is σ = 396658231200. Its totient is φ = 26971176960.

The previous prime is 105953806027. The next prime is 105953806081. The reversal of 105953806080 is 80608359501.

105953806080 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 5 + 38 + 0 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×105953806080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953806081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 393880186 + ... + 393880454.

It is an arithmetic number, because the mean of its divisors is an integer number (550914210).

Almost surely, 2^105953806080 is an apocalyptic number.

105953806080 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 105953806080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198329115600).

105953806080 is an abundant number, since it is smaller than the sum of its proper divisors (290704425120).

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

105953806080 is a wasteful number, since it uses less digits than its factorization.

105953806080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 105953806080 in words is "one hundred five billion, nine hundred fifty-three million, eight hundred six thousand, eighty".