106664540401 has 24 divisors (see below), whose sum is σ = 115860697920. Its totient is φ = 98127608544.

The previous prime is 106664540387. The next prime is 106664540407. The reversal of 106664540401 is 104045466601.

It is not a de Polignac number, because 106664540401 - 2⁹ = 106664539889 is a prime.

It is a super-2 number, since 2×106664540401² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106664540407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2665620 + ... + 2705338.

It is an arithmetic number, because the mean of its divisors is an integer number (4827529080).

Almost surely, 2^106664540401 is an apocalyptic number.

It is an amenable number.

106664540401 is a deficient number, since it is larger than the sum of its proper divisors (9196157519).

106664540401 is a wasteful number, since it uses less digits than its factorization.

106664540401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39973 (or 39954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 106664540401 in words is "one hundred six billion, six hundred sixty-four million, five hundred forty thousand, four hundred one".