105005638861704 has 192 divisors, whose sum is σ = 329608943988480. Its totient is φ = 29577816576000.

The previous prime is 105005638861687. The next prime is 105005638861709. The reversal of 105005638861704 is 407168836500501.

It is a happy number.

105005638861704 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 0 + 563 + 8 + 8 + 6 + 1 + 70 + 4 = 666.

It is a super-2 number, since 2×105005638861704² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005638861709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1165117764 + ... + 1165207884.

It is an arithmetic number, because the mean of its divisors is an integer number (1716713249940).

Almost surely, 2^{105005638861704} is an apocalyptic number.

105005638861704 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 105005638861704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164804471994240).

105005638861704 is an abundant number, since it is smaller than the sum of its proper divisors (224603305126776).

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

105005638861704 is a wasteful number, since it uses less digits than its factorization.

105005638861704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122772 (or 122765 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 105005638861704 in words is "one hundred five trillion, five billion, six hundred thirty-eight million, eight hundred sixty-one thousand, seven hundred four".