106059283200 has 864 divisors, whose sum is σ = 432618977280. Its totient is φ = 25248153600.

The previous prime is 106059283199. The next prime is 106059283207. The reversal of 106059283200 is 2382950601.

106059283200 is a `hidden beast` number, since 1 + 0 + 60 + 592 + 8 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×106059283200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (106059283207) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 69637639 + ... + 69639161.

Almost surely, 2^106059283200 is an apocalyptic number.

106059283200 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 106059283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216309488640).

106059283200 is an abundant number, since it is smaller than the sum of its proper divisors (326559694080).

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

106059283200 is a wasteful number, since it uses less digits than its factorization.

106059283200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 1577 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106059283200 in words is "one hundred six billion, fifty-nine million, two hundred eighty-three thousand, two hundred".