106630123142200 has 96 divisors (see below), whose sum is σ = 283379932836000. Its totient is φ = 36552646103040.

The previous prime is 106630123142189. The next prime is 106630123142227. The reversal of 106630123142200 is 2241321036601.

It is a super-2 number, since 2×106630123142200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1677712 + ... + 14699488.

It is an arithmetic number, because the mean of its divisors is an integer number (2951874300375).

Almost surely, 2^{106630123142200} is an apocalyptic number.

106630123142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106630123142200 is an abundant number, since it is smaller than the sum of its proper divisors (176749809693800).

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

106630123142200 is a wasteful number, since it uses less digits than its factorization.

106630123142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027649 (or 13027640 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

Adding to 106630123142200 its reverse (2241321036601), we get a palindrome (108871444178801).

The spelling of 106630123142200 in words is "one hundred six trillion, six hundred thirty billion, one hundred twenty-three million, one hundred forty-two thousand, two hundred".