106552699914240 has 960 divisors, whose sum is σ = 385748993710080. Its totient is φ = 28130039562240.

The previous prime is 106552699914233. The next prime is 106552699914247. The reversal of 106552699914240 is 42419996255601.

106552699914240 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 526 + 9 + 99 + 14 + 2 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106552699914233) and next prime (106552699914247).

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106552699914240² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106552699914247) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 71946454300 + ... + 71946455780.

It is an arithmetic number, because the mean of its divisors is an integer number (401821868448).

Almost surely, 2^{106552699914240} is an apocalyptic number.

106552699914240 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 106552699914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192874496855040).

106552699914240 is an abundant number, since it is smaller than the sum of its proper divisors (279196293795840).

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

106552699914240 is a wasteful number, since it uses less digits than its factorization.

106552699914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 63.

The spelling of 106552699914240 in words is "one hundred six trillion, five hundred fifty-two billion, six hundred ninety-nine million, nine hundred fourteen thousand, two hundred forty".