106225568064 has 1008 divisors, whose sum is σ = 404464357440. Its totient is φ = 26336378880.

The previous prime is 106225568051. The next prime is 106225568077. The reversal of 106225568064 is 460865522601.

106225568064 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 25 + 568 + 0 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (106225568051) and next prime (106225568077).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106225568064² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 974546442 + ... + 974546550.

Almost surely, 2^106225568064 is an apocalyptic number.

106225568064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106225568064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202232178720).

106225568064 is an abundant number, since it is smaller than the sum of its proper divisors (298238789376).

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

106225568064 is a wasteful number, since it uses less digits than its factorization.

106225568064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 106225568064 in words is "one hundred six billion, two hundred twenty-five million, five hundred sixty-eight thousand, sixty-four".