106319525719680 has 2560 divisors, whose sum is σ = 482055629045760. Its totient is φ = 21732779851776.

The previous prime is 106319525719663. The next prime is 106319525719741. The reversal of 106319525719680 is 86917525913601.

106319525719680 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 1 + 9 + 52 + 571 + 9 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×106319525719680² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 25761937777 + ... + 25761941903.

It is an arithmetic number, because the mean of its divisors is an integer number (188302980096).

Almost surely, 2^{106319525719680} is an apocalyptic number.

106319525719680 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 106319525719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241027814522880).

106319525719680 is an abundant number, since it is smaller than the sum of its proper divisors (375736103326080).

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

106319525719680 is a wasteful number, since it uses less digits than its factorization.

106319525719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4348 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 63.

The spelling of 106319525719680 in words is "one hundred six trillion, three hundred nineteen billion, five hundred twenty-five million, seven hundred nineteen thousand, six hundred eighty".