106654456601 has 32 divisors (see below), whose sum is σ = 138789421056. Its totient is φ = 79473240000.

The previous prime is 106654456591. The next prime is 106654456621.

106654456601 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 106654456601 - 2³⁴ = 89474587417 is a prime.

It is a super-2 number, since 2×106654456601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106654456621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11650376 + ... + 11659526.

It is an arithmetic number, because the mean of its divisors is an integer number (4337169408).

Almost surely, 2^106654456601 is an apocalyptic number.

106654456601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106654456601 is a deficient number, since it is larger than the sum of its proper divisors (32134964455).

106654456601 is a wasteful number, since it uses less digits than its factorization.

106654456601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15773.

The product of its (nonzero) digits is 518400, while the sum is 44.

The spelling of 106654456601 in words is "one hundred six billion, six hundred fifty-four million, four hundred fifty-six thousand, six hundred one".