106066500210 has 192 divisors, whose sum is σ = 309553695360. Its totient is φ = 24974208000.

The previous prime is 106066500193. The next prime is 106066500227. The reversal of 106066500210 is 12005660601.

It is a happy number.

106066500210 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 650 + 0 + 2 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106066500193) and next prime (106066500227).

It is a super-2 number, since 2×106066500210² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 9289405 + ... + 9300815.

It is an arithmetic number, because the mean of its divisors is an integer number (1612258830).

Almost surely, 2^106066500210 is an apocalyptic number.

106066500210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106066500210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154776847680).

106066500210 is an abundant number, since it is smaller than the sum of its proper divisors (203487195150).

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

106066500210 is a wasteful number, since it uses less digits than its factorization.

106066500210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11705 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 106066500210 in words is "one hundred six billion, sixty-six million, five hundred thousand, two hundred ten".