106085392200 has 252 divisors, whose sum is σ = 370237677435. Its totient is φ = 28256273280.

The previous prime is 106085392187. The next prime is 106085392229. The reversal of 106085392200 is 2293580601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

106085392200 is a `hidden beast` number, since 1 + 0 + 60 + 8 + 5 + 392 + 200 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 1074397284 + 105010994916 = 32778^2 + 324054^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=230310.

It is a super-2 number, since 2×106085392200² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 124366974 + ... + 124367826.

Almost surely, 2^106085392200 is an apocalyptic number.

106085392200 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 106085392200

106085392200 is an abundant number, since it is smaller than the sum of its proper divisors (264152285235).

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

106085392200 is an frugal number, since it uses more digits than its factorization.

106085392200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106085392200 in words is "one hundred six billion, eighty-five million, three hundred ninety-two thousand, two hundred".