105357217758001 has 8 divisors (see below), whose sum is σ = 114935277693600. Its totient is φ = 95779179663840.

The previous prime is 105357217757971. The next prime is 105357217758127. The reversal of 105357217758001 is 100857712753501.

It is a happy number.

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 105357217758001 - 2²⁵ = 105357184203569 is a prime.

It is a super-2 number, since 2×105357217758001² (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 105357217758001.

It is not an unprimeable number, because it can be changed into a prime (105357257758001) 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, 5599645 + ... + 15558613.

It is an arithmetic number, because the mean of its divisors is an integer number (14366909711700).

Almost surely, 2^{105357217758001} is an apocalyptic number.

105357217758001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105357217758001 is a deficient number, since it is larger than the sum of its proper divisors (9578059935599).

105357217758001 is an equidigital number, since it uses as much as digits as its factorization.

105357217758001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10920719.

The product of its (nonzero) digits is 2058000, while the sum is 52.

The spelling of 105357217758001 in words is "one hundred five trillion, three hundred fifty-seven billion, two hundred seventeen million, seven hundred fifty-eight thousand, one".