106017433200 has 1200 divisors, whose sum is σ = 475810689024. Its totient is φ = 22046515200.

The previous prime is 106017433117. The next prime is 106017433201. The reversal of 106017433200 is 2334710601.

106017433200 is a `hidden beast` number, since 1 + 0 + 601 + 7 + 4 + 33 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×106017433200² (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 not an unprimeable number, because it can be changed into a prime (106017433201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119523157 + ... + 119524043.

Almost surely, 2^106017433200 is an apocalyptic number.

106017433200 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 106017433200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237905344512).

106017433200 is an abundant number, since it is smaller than the sum of its proper divisors (369793255824).

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

106017433200 is a wasteful number, since it uses less digits than its factorization.

106017433200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 972 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 106017433200 in words is "one hundred six billion, seventeen million, four hundred thirty-three thousand, two hundred".