106163381433600 has 648 divisors, whose sum is σ = 384304388569920. Its totient is φ = 27957019115520.

The previous prime is 106163381433589. The next prime is 106163381433721. The reversal of 106163381433600 is 6334183361601.

106163381433600 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 3 + 3 + 8 + 1 + 4 + 33 + 600 = 666.

It is a super-2 number, since 2×106163381433600² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4219014619 + ... + 4219039781.

It is an arithmetic number, because the mean of its divisors is an integer number (593062328040).

Almost surely, 2^{106163381433600} is an apocalyptic number.

106163381433600 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 106163381433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192152194284960).

106163381433600 is an abundant number, since it is smaller than the sum of its proper divisors (278141007136320).

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

106163381433600 is a wasteful number, since it uses less digits than its factorization.

106163381433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26107 (or 26085 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 106163381433600 in words is "one hundred six trillion, one hundred sixty-three billion, three hundred eighty-one million, four hundred thirty-three thousand, six hundred".