106217720 has 128 divisors (see below), whose sum is σ = 287539200. Its totient is φ = 34546176.

The previous prime is 106217707. The next prime is 106217729. The reversal of 106217720 is 27712601.

106217720 = T₉₉ + T₁₀₀ + ... + T₈₆₀.

It is a super-2 number, since 2×106217720² = 22564408083996800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106217720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106217729) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 836297 + ... + 836423.

It is an arithmetic number, because the mean of its divisors is an integer number (2246400).

Almost surely, 2^106217720 is an apocalyptic number.

106217720 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 106217720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143769600).

106217720 is an abundant number, since it is smaller than the sum of its proper divisors (181321480).

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

106217720 is a wasteful number, since it uses less digits than its factorization.

106217720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 106217720 is about 10306.1981351030. The cubic root of 106217720 is about 473.5861485289.

The spelling of 106217720 in words is "one hundred six million, two hundred seventeen thousand, seven hundred twenty".