106535535601 has 4 divisors (see below), whose sum is σ = 116220584304. Its totient is φ = 96850486900.

The previous prime is 106535535559. The next prime is 106535535629.

It is a happy number.

106535535601 is nontrivially palindromic in base 10.

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 106535535601 - 2¹³ = 106535527409 is a prime.

It is a super-2 number, since 2×106535535601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106535535661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4842524335 + ... + 4842524356.

It is an arithmetic number, because the mean of its divisors is an integer number (29055146076).

Almost surely, 2^106535535601 is an apocalyptic number.

106535535601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106535535601 is a deficient number, since it is larger than the sum of its proper divisors (9685048703).

106535535601 is an equidigital number, since it uses as much as digits as its factorization.

106535535601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9685048702.

The product of its (nonzero) digits is 202500, while the sum is 40.

The spelling of 106535535601 in words is "one hundred six billion, five hundred thirty-five million, five hundred thirty-five thousand, six hundred one".