106105216160 has 48 divisors (see below), whose sum is σ = 253490164200. Its totient is φ = 41965203456.

The previous prime is 106105216097. The next prime is 106105216163. The reversal of 106105216160 is 61612501601.

It can be written as a sum of positive squares in 4 ways, for example, as 43886898064 + 62218318096 = 209492^2 + 249436^2 .

It is a super-2 number, since 2×106105216160² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106105216163) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3711365 + ... + 3739844.

Almost surely, 2^106105216160 is an apocalyptic number.

106105216160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106105216160 is an abundant number, since it is smaller than the sum of its proper divisors (147384948040).

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

106105216160 is an equidigital number, since it uses as much as digits as its factorization.

106105216160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7451313 (or 7451305 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

Adding to 106105216160 its reverse (61612501601), we get a palindrome (167717717761).

The spelling of 106105216160 in words is "one hundred six billion, one hundred five million, two hundred sixteen thousand, one hundred sixty".