106405362113 has 4 divisors (see below), whose sum is σ = 106645555248. Its totient is φ = 106165168980.

The previous prime is 106405362059. The next prime is 106405362127. The reversal of 106405362113 is 311263504601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106405362113 - 2¹⁴ = 106405345729 is a prime.

It is a super-3 number, since 3×106405362113³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 106405362113.

It is not an unprimeable number, because it can be changed into a prime (106405362143) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120095903 + ... + 120096788.

It is an arithmetic number, because the mean of its divisors is an integer number (26661388812).

Almost surely, 2^106405362113 is an apocalyptic number.

It is an amenable number.

106405362113 is a deficient number, since it is larger than the sum of its proper divisors (240193135).

106405362113 is an equidigital number, since it uses as much as digits as its factorization.

106405362113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240193134.

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 106405362113 its reverse (311263504601), we get a palindrome (417668866714).

The spelling of 106405362113 in words is "one hundred six billion, four hundred five million, three hundred sixty-two thousand, one hundred thirteen".