106433021403300 has 288 divisors, whose sum is σ = 334060216277760. Its totient is φ = 26057421209600.

The previous prime is 106433021403281. The next prime is 106433021403311. The reversal of 106433021403300 is 3304120334601.

106433021403300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106433021403300² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 95 ways as a sum of consecutive naturals, for example, 1680923242 + ... + 1680986558.

It is an arithmetic number, because the mean of its divisors is an integer number (1159931306520).

Almost surely, 2^{106433021403300} is an apocalyptic number.

106433021403300 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 106433021403300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167030108138880).

106433021403300 is an abundant number, since it is smaller than the sum of its proper divisors (227627194874460).

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

106433021403300 is a wasteful number, since it uses less digits than its factorization.

106433021403300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71431 (or 71424 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 106433021403300 its reverse (3304120334601), we get a palindrome (109737141737901).

The spelling of 106433021403300 in words is "one hundred six trillion, four hundred thirty-three billion, twenty-one million, four hundred three thousand, three hundred".