106200020086200 has 288 divisors, whose sum is σ = 359499047731200. Its totient is φ = 28094224999680.

The previous prime is 106200020086169. The next prime is 106200020086229. The reversal of 106200020086200 is 2680020002601.

106200020086200 is a `hidden beast` number, since 10 + 6 + 2 + 0 + 0 + 0 + 20 + 0 + 8 + 620 + 0 = 666.

It is a super-2 number, since 2×106200020086200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3401323789 + ... + 3401355011.

It is an arithmetic number, because the mean of its divisors is an integer number (1248260582400).

Almost surely, 2^{106200020086200} is an apocalyptic number.

106200020086200 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 106200020086200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179749523865600).

106200020086200 is an abundant number, since it is smaller than the sum of its proper divisors (253299027645000).

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

106200020086200 is a wasteful number, since it uses less digits than its factorization.

106200020086200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46251 (or 46239 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 106200020086200 its reverse (2680020002601), we get a palindrome (108880040088801).

The spelling of 106200020086200 in words is "one hundred six trillion, two hundred billion, twenty million, eighty-six thousand, two hundred".