106008300720 has 320 divisors, whose sum is σ = 426184151040. Its totient is φ = 23714767872.

The previous prime is 106008300703. The next prime is 106008300737. The reversal of 106008300720 is 27003800601.

106008300720 is a `hidden beast` number, since 1 + 0 + 600 + 8 + 30 + 0 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (106008300703) and next prime (106008300737).

It is a super-2 number, since 2×106008300720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 636054 + ... + 785226.

It is an arithmetic number, because the mean of its divisors is an integer number (1331825472).

Almost surely, 2^106008300720 is an apocalyptic number.

106008300720 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 106008300720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213092075520).

106008300720 is an abundant number, since it is smaller than the sum of its proper divisors (320175850320).

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

106008300720 is a wasteful number, since it uses less digits than its factorization.

106008300720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149249 (or 149237 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 106008300720 in words is "one hundred six billion, eight million, three hundred thousand, seven hundred twenty".