106365432006 has 96 divisors (see below), whose sum is σ = 251539292160. Its totient is φ = 32353859328.

The previous prime is 106365431983. The next prime is 106365432031. The reversal of 106365432006 is 600234563601.

106365432006 is a `hidden beast` number, since 10 + 636 + 5 + 4 + 3 + 2 + 0 + 0 + 6 = 666.

It is a super-2 number, since 2×106365432006² (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 1504315 + ... + 1573433.

It is an arithmetic number, because the mean of its divisors is an integer number (2620200960).

Almost surely, 2^106365432006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106365432006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125769646080).

106365432006 is an abundant number, since it is smaller than the sum of its proper divisors (145173860154).

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

106365432006 is a wasteful number, since it uses less digits than its factorization.

106365432006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69298 (or 69295 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 106365432006 its reverse (600234563601), we get a palindrome (706599995607).

The spelling of 106365432006 in words is "one hundred six billion, three hundred sixty-five million, four hundred thirty-two thousand, six".