106107428044800 has 4608 divisors, whose sum is σ = 518266760054400. Its totient is φ = 21023026053120.

The previous prime is 106107428044777. The next prime is 106107428044847. The reversal of 106107428044800 is 8440824701601.

106107428044800 is a `hidden beast` number, since 1 + 0 + 6 + 107 + 428 + 0 + 44 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×106107428044800² (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 239520153379 + ... + 239520153821.

Almost surely, 2^{106107428044800} is an apocalyptic number.

106107428044800 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 106107428044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259133380027200).

106107428044800 is an abundant number, since it is smaller than the sum of its proper divisors (412159332009600).

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

106107428044800 is a wasteful number, since it uses less digits than its factorization.

106107428044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 106107428044800 in words is "one hundred six trillion, one hundred seven billion, four hundred twenty-eight million, forty-four thousand, eight hundred".