106634436601 has 32 divisors (see below), whose sum is σ = 134464214016. Its totient is φ = 82145880000.

The previous prime is 106634436599. The next prime is 106634436607.

106634436601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106634436601 - 2¹ = 106634436599 is a prime.

It is a super-2 number, since 2×106634436601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106634436607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5363986 + ... + 5383828.

It is an arithmetic number, because the mean of its divisors is an integer number (4202006688).

Almost surely, 2^106634436601 is an apocalyptic number.

106634436601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106634436601 is a deficient number, since it is larger than the sum of its proper divisors (27829777415).

106634436601 is a wasteful number, since it uses less digits than its factorization.

106634436601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20653.

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 106634436601 in words is "one hundred six billion, six hundred thirty-four million, four hundred thirty-six thousand, six hundred one".