106909570430208 has 432 divisors, whose sum is σ = 379513335801600. Its totient is φ = 28186057506816.

The previous prime is 106909570430161. The next prime is 106909570430209. The reversal of 106909570430208 is 802034075909601.

106909570430208 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 0 + 9 + 570 + 43 + 0 + 20 + 8 = 666.

It is a super-2 number, since 2×106909570430208² (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 (106909570430209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608566768 + ... + 608742416.

It is a 1-persistent number, because it is pandigital, but 2⋅106909570430208 = 213819140860416 is not.

Almost surely, 2^{106909570430208} is an apocalyptic number.

106909570430208 is a gapful number since it is divisible by the number (18) 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 106909570430208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189756667900800).

106909570430208 is an abundant number, since it is smaller than the sum of its proper divisors (272603765371392).

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

106909570430208 is a wasteful number, since it uses less digits than its factorization.

106909570430208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178594 (or 178577 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 106909570430208 in words is "one hundred six trillion, nine hundred nine billion, five hundred seventy million, four hundred thirty thousand, two hundred eight".