106646642164608 has 1536 divisors, whose sum is σ = 380833885716480. Its totient is φ = 26147100672000.

The previous prime is 106646642164607. The next prime is 106646642164609. The reversal of 106646642164608 is 806461246646601.

It is an interprime number because it is at equal distance from previous prime (106646642164607) and next prime (106646642164609).

It is a super-2 number, since 2×106646642164608² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106646642164607) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39927607113 + ... + 39927609783.

It is an arithmetic number, because the mean of its divisors is an integer number (247938727680).

Almost surely, 2^{106646642164608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106646642164608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190416942858240).

106646642164608 is an abundant number, since it is smaller than the sum of its proper divisors (274187243551872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106646642164608 is a wasteful number, since it uses less digits than its factorization.

106646642164608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936 (or 2917 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 60.

The spelling of 106646642164608 in words is "one hundred six trillion, six hundred forty-six billion, six hundred forty-two million, one hundred sixty-four thousand, six hundred eight".