105098395292353 has 8 divisors (see below), whose sum is σ = 111281020380288. Its totient is φ = 98915810931264.

The previous prime is 105098395292351. The next prime is 105098395292357. The reversal of 105098395292353 is 353292593890501.

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 105098395292353 - 2¹ = 105098395292351 is a prime.

It is a super-2 number, since 2×105098395292353² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105098395292351) 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 7 ways as a sum of consecutive naturals, for example, 4787101 + ... + 15268042.

It is an arithmetic number, because the mean of its divisors is an integer number (13910127547536).

Almost surely, 2^{105098395292353} is an apocalyptic number.

It is an amenable number.

105098395292353 is a deficient number, since it is larger than the sum of its proper divisors (6182625087935).

105098395292353 is a wasteful number, since it uses less digits than its factorization.

105098395292353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20363423.

The product of its (nonzero) digits is 78732000, while the sum is 64.

The spelling of 105098395292353 in words is "one hundred five trillion, ninety-eight billion, three hundred ninety-five million, two hundred ninety-two thousand, three hundred fifty-three".