105798957083044 has 27 divisors (see below), whose sum is σ = 191314511843553. Its totient is φ = 51192735174000.

The previous prime is 105798957083041. The next prime is 105798957083063. The reversal of 105798957083044 is 440380759897501.

The square root of 105798957083044 is 10285862.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23207940121444 + 82591016961600 = 4817462^2 + 9087960^2 .

It is a super-3 number, since 3×105798957083044³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105798957083041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 637640494 + ... + 637806394.

Almost surely, 2^{105798957083044} is an apocalyptic number.

105798957083044 is the 10285862-nd square number.

It is an amenable number.

105798957083044 is a deficient number, since it is larger than the sum of its proper divisors (85515554760509).

105798957083044 is an frugal number, since it uses more digits than its factorization.

105798957083044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331868 (or 165934 counting only the distinct ones).

The product of its (nonzero) digits is 304819200, while the sum is 70.

The spelling of 105798957083044 in words is "one hundred five trillion, seven hundred ninety-eight billion, nine hundred fifty-seven million, eighty-three thousand, forty-four".