106006930560 has 192 divisors, whose sum is σ = 371212320960. Its totient is φ = 27870259200.

The previous prime is 106006930541. The next prime is 106006930573. The reversal of 106006930560 is 65039600601.

106006930560 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 6 + 93 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106006930560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279355 + ... + 538565.

It is an arithmetic number, because the mean of its divisors is an integer number (1933397505).

Almost surely, 2^106006930560 is an apocalyptic number.

106006930560 is a gapful number since it is divisible by the number (10) 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 106006930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185606160480).

106006930560 is an abundant number, since it is smaller than the sum of its proper divisors (265205390400).

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

106006930560 is a wasteful number, since it uses less digits than its factorization.

106006930560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259307 (or 259292 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 106006930560 in words is "one hundred six billion, six million, nine hundred thirty thousand, five hundred sixty".