106821711360 has 2240 divisors, whose sum is σ = 513950355072. Its totient is φ = 20639121408.

The previous prime is 106821711331. The next prime is 106821711391. The reversal of 106821711360 is 63117128601.

106821711360 is a `hidden beast` number, since 10 + 68 + 217 + 11 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a super-2 number, since 2×106821711360² (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 a congruent number.

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 223 ways as a sum of consecutive naturals, for example, 2887073262 + ... + 2887073298.

Almost surely, 2^106821711360 is an apocalyptic number.

106821711360 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 106821711360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256975177536).

106821711360 is an abundant number, since it is smaller than the sum of its proper divisors (407128643712).

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

106821711360 is an equidigital number, since it uses as much as digits as its factorization.

106821711360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

Adding to 106821711360 its reverse (63117128601), we get a palindrome (169938839961).

The spelling of 106821711360 in words is "one hundred six billion, eight hundred twenty-one million, seven hundred eleven thousand, three hundred sixty".