105198953274397 has 8 divisors (see below), whose sum is σ = 106165808877816. Its totient is φ = 104232727345152.

The previous prime is 105198953274347. The next prime is 105198953274403. The reversal of 105198953274397 is 793472359891501.

It can be written as a sum of positive squares in 4 ways, for example, as 16587813878596 + 88611139395801 = 4072814^2 + 9413349^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105198953274397 - 2¹⁹ = 105198952750109 is a prime.

It is a super-2 number, since 2×105198953274397² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105198953274347) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 157082868 + ... + 157751149.

It is an arithmetic number, because the mean of its divisors is an integer number (13270726109727).

Almost surely, 2^{105198953274397} is an apocalyptic number.

It is an amenable number.

105198953274397 is a deficient number, since it is larger than the sum of its proper divisors (966855603419).

105198953274397 is a wasteful number, since it uses less digits than its factorization.

105198953274397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314837087.

The product of its (nonzero) digits is 514382400, while the sum is 73.

The spelling of 105198953274397 in words is "one hundred five trillion, one hundred ninety-eight billion, nine hundred fifty-three million, two hundred seventy-four thousand, three hundred ninety-seven".