106163120 has 80 divisors (see below), whose sum is σ = 285035328. Its totient is φ = 36019200.

The previous prime is 106163111. The next prime is 106163129. The reversal of 106163120 is 21361601.

It is an interprime number because it is at equal distance from previous prime (106163111) and next prime (106163129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×106163120² = 22541216096268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 106163092 and 106163101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106163129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55622 + ... + 57498.

Almost surely, 2^106163120 is an apocalyptic number.

106163120 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 106163120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142517664).

106163120 is an abundant number, since it is smaller than the sum of its proper divisors (178872208).

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

106163120 is a wasteful number, since it uses less digits than its factorization.

106163120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1998 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106163120 is about 10303.5489031692. The cubic root of 106163120 is about 473.5049874457.

The spelling of 106163120 in words is "one hundred six million, one hundred sixty-three thousand, one hundred twenty".