106444800 has 576 divisors, whose sum is σ = 487468800. Its totient is φ = 22118400.

The previous prime is 106444787. The next prime is 106444847. The reversal of 106444800 is 8444601.

106444800 is a `hidden beast` number, since 10 + 644 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106444800² = 22660990894080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 9676795 + ... + 9676805.

It is an arithmetic number, because the mean of its divisors is an integer number (846300).

Almost surely, 2^106444800 is an apocalyptic number.

106444800 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 106444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

106444800 is an abundant number, since it is smaller than the sum of its proper divisors (381024000).

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

106444800 is a wasteful number, since it uses less digits than its factorization.

106444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 106444800 is about 10317.2089248982. The cubic root of 106444800 is about 473.9233973310.

The spelling of 106444800 in words is "one hundred six million, four hundred forty-four thousand, eight hundred".