106352404253601 has 8 divisors (see below), whose sum is σ = 154694406187104. Its totient is φ = 64456002577920.

The previous prime is 106352404253581. The next prime is 106352404253611.

106352404253601 is nontrivially palindromic in base 10.

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

It is not a de Polignac number, because 106352404253601 - 2²⁶ = 106352337144737 is a prime.

It is a super-2 number, since 2×106352404253601² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106352404253611) 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, 1611400064416 + ... + 1611400064481.

It is an arithmetic number, because the mean of its divisors is an integer number (19336800773388).

Almost surely, 2^{106352404253601} is an apocalyptic number.

106352404253601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106352404253601 is a deficient number, since it is larger than the sum of its proper divisors (48342001933503).

106352404253601 is a wasteful number, since it uses less digits than its factorization.

106352404253601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222800128911.

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 10635240 and 4253601, that added together give a palindrome (14888841).

The spelling of 106352404253601 in words is "one hundred six trillion, three hundred fifty-two billion, four hundred four million, two hundred fifty-three thousand, six hundred one".