106286644800 has 1008 divisors, whose sum is σ = 457435305600. Its totient is φ = 24263608320.

The previous prime is 106286644781. The next prime is 106286644813. The reversal of 106286644800 is 8446682601.

106286644800 is a `hidden beast` number, since 10 + 628 + 6 + 6 + 4 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106286644800² (a number of 23 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133358002 + ... + 133358798.

Almost surely, 2^106286644800 is an apocalyptic number.

106286644800 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 106286644800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228717652800).

106286644800 is an abundant number, since it is smaller than the sum of its proper divisors (351148660800).

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

106286644800 is an frugal number, since it uses more digits than its factorization.

106286644800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 106286644800 in words is "one hundred six billion, two hundred eighty-six million, six hundred forty-four thousand, eight hundred".