106302720 has 288 divisors, whose sum is σ = 376750080. Its totient is φ = 25436160.

The previous prime is 106302697. The next prime is 106302761. The reversal of 106302720 is 27203601.

It is a happy number.

It is a super-2 number, since 2×106302720² = 22600536558796800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2261737 + ... + 2261783.

It is an arithmetic number, because the mean of its divisors is an integer number (1308160).

Almost surely, 2^106302720 is an apocalyptic number.

106302720 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 106302720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188375040).

106302720 is an abundant number, since it is smaller than the sum of its proper divisors (270447360).

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

106302720 is a wasteful number, since it uses less digits than its factorization.

106302720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 106302720 is about 10310.3210425282. The cubic root of 106302720 is about 473.7124428657.

The spelling of 106302720 in words is "one hundred six million, three hundred two thousand, seven hundred twenty".