106995724595760 has 3840 divisors, whose sum is σ = 480235758944256. Its totient is φ = 19345858560000.

The previous prime is 106995724595707. The next prime is 106995724595779. The reversal of 106995724595760 is 67595427599601.

It is a super-2 number, since 2×106995724595760² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 507088742055 + ... + 507088742265.

Almost surely, 2^{106995724595760} is an apocalyptic number.

106995724595760 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 106995724595760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240117879472128).

106995724595760 is an abundant number, since it is smaller than the sum of its proper divisors (373240034348496).

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

106995724595760 is a wasteful number, since it uses less digits than its factorization.

106995724595760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 1285956000, while the sum is 75.

The spelling of 106995724595760 in words is "one hundred six trillion, nine hundred ninety-five billion, seven hundred twenty-four million, five hundred ninety-five thousand, seven hundred sixty".