105157131220373 has 8 divisors (see below), whose sum is σ = 105460159992600. Its totient is φ = 104854112271360.

The previous prime is 105157131220367. The next prime is 105157131220391. The reversal of 105157131220373 is 373022131751501.

It can be written as a sum of positive squares in 4 ways, for example, as 69785005402564 + 35372125817809 = 8353742^2 + 5947447^2 .

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 105157131220373 - 2⁸ = 105157131220117 is a prime.

It is a super-2 number, since 2×105157131220373² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105157131220373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105157131220313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19261253 + ... + 24110373.

It is an arithmetic number, because the mean of its divisors is an integer number (13182519999075).

Almost surely, 2^{105157131220373} is an apocalyptic number.

It is an amenable number.

105157131220373 is a deficient number, since it is larger than the sum of its proper divisors (303028772227).

105157131220373 is an equidigital number, since it uses as much as digits as its factorization.

105157131220373 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4911607.

The product of its (nonzero) digits is 132300, while the sum is 41.

Adding to 105157131220373 its reverse (373022131751501), we get a palindrome (478179262971874).

The spelling of 105157131220373 in words is "one hundred five trillion, one hundred fifty-seven billion, one hundred thirty-one million, two hundred twenty thousand, three hundred seventy-three".