105797338704 has 100 divisors (see below), whose sum is σ = 306390607380. Its totient is φ = 35244771840.

The previous prime is 105797338681. The next prime is 105797338741. The reversal of 105797338704 is 407833797501.

It can be written as a sum of positive squares in 2 ways, for example, as 16730905104 + 89066433600 = 129348^2 + 298440^2 .

It is a super-2 number, since 2×105797338704² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2232892 + ... + 2279780.

Almost surely, 2^105797338704 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 105797338704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153195303690).

105797338704 is an abundant number, since it is smaller than the sum of its proper divisors (200593268676).

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

105797338704 is a wasteful number, since it uses less digits than its factorization.

105797338704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48650 (or 48635 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 105797338704 in words is "one hundred five billion, seven hundred ninety-seven million, three hundred thirty-eight thousand, seven hundred four".