106189449508800 has 5376 divisors, whose sum is σ = 511029806284800. Its totient is φ = 20868444979200.

The previous prime is 106189449508759. The next prime is 106189449508829. The reversal of 106189449508800 is 8805944981601.

106189449508800 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 9 + 4 + 49 + 508 + 80 + 0 = 666.

It is a super-2 number, since 2×106189449508800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 550204401504 + ... + 550204401696.

Almost surely, 2^{106189449508800} is an apocalyptic number.

106189449508800 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 106189449508800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255514903142400).

106189449508800 is an abundant number, since it is smaller than the sum of its proper divisors (404840356776000).

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

106189449508800 is a wasteful number, since it uses less digits than its factorization.

106189449508800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 63.

The spelling of 106189449508800 in words is "one hundred six trillion, one hundred eighty-nine billion, four hundred forty-nine million, five hundred eight thousand, eight hundred".