106231435200 has 1008 divisors, whose sum is σ = 435423381120. Its totient is φ = 25256448000.

The previous prime is 106231435151. The next prime is 106231435237. The reversal of 106231435200 is 2534132601.

106231435200 is a `hidden beast` number, since 1 + 0 + 6 + 23 + 1 + 435 + 200 = 666.

It is a super-2 number, since 2×106231435200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 252330990 + ... + 252331410.

It is an arithmetic number, because the mean of its divisors is an integer number (431967640).

Almost surely, 2^106231435200 is an apocalyptic number.

106231435200 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 106231435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217711690560).

106231435200 is an abundant number, since it is smaller than the sum of its proper divisors (329191945920).

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

106231435200 is a wasteful number, since it uses less digits than its factorization.

106231435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 106231435200 its reverse (2534132601), we get a palindrome (108765567801).

The spelling of 106231435200 in words is "one hundred six billion, two hundred thirty-one million, four hundred thirty-five thousand, two hundred".