106824762720 has 288 divisors, whose sum is σ = 394311153600. Its totient is φ = 26179448832.

The previous prime is 106824762659. The next prime is 106824762721. The reversal of 106824762720 is 27267428601.

It is a happy number.

106824762720 is a `hidden beast` number, since 10 + 6 + 8 + 2 + 4 + 7 + 627 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106824762720² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106824762721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4274421 + ... + 4299339.

It is an arithmetic number, because the mean of its divisors is an integer number (1369135950).

Almost surely, 2^106824762720 is an apocalyptic number.

106824762720 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 106824762720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197155576800).

106824762720 is an abundant number, since it is smaller than the sum of its proper divisors (287486390880).

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

106824762720 is a wasteful number, since it uses less digits than its factorization.

106824762720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25182 (or 25171 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 106824762720 in words is "one hundred six billion, eight hundred twenty-four million, seven hundred sixty-two thousand, seven hundred twenty".