105380944704 has 448 divisors, whose sum is σ = 366392033280. Its totient is φ = 29075189760.

The previous prime is 105380944681. The next prime is 105380944777. The reversal of 105380944704 is 407449083501.

105380944704 is a `hidden beast` number, since 1 + 0 + 538 + 0 + 9 + 44 + 70 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×105380944704² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105380944704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51080377 + ... + 51082439.

It is an arithmetic number, because the mean of its divisors is an integer number (817839360).

Almost surely, 2^105380944704 is an apocalyptic number.

105380944704 is a gapful number since it is divisible by the number (14) 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 105380944704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183196016640).

105380944704 is an abundant number, since it is smaller than the sum of its proper divisors (261011088576).

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

105380944704 is a wasteful number, since it uses less digits than its factorization.

105380944704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2219 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 105380944704 in words is "one hundred five billion, three hundred eighty million, nine hundred forty-four thousand, seven hundred four".