106366720 has 72 divisors (see below), whose sum is σ = 265932576. Its totient is φ = 40685568.

The previous prime is 106366717. The next prime is 106366723. The reversal of 106366720 is 27663601.

It is an interprime number because it is at equal distance from previous prime (106366717) and next prime (106366723).

It is a super-2 number, since 2×106366720² = 22627758247116800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106366723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27634 + ... + 31246.

It is an arithmetic number, because the mean of its divisors is an integer number (3693508).

Almost surely, 2^106366720 is an apocalyptic number.

106366720 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 106366720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132966288).

106366720 is an abundant number, since it is smaller than the sum of its proper divisors (159565856).

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

106366720 is an equidigital number, since it uses as much as digits as its factorization.

106366720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3643 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 106366720 is about 10313.4242616117. The cubic root of 106366720 is about 473.8074906503.

The spelling of 106366720 in words is "one hundred six million, three hundred sixty-six thousand, seven hundred twenty".