106017120 has 384 divisors, whose sum is σ = 426746880. Its totient is φ = 24330240.

The previous prime is 106017113. The next prime is 106017139. The reversal of 106017120 is 21710601.

It is a super-2 number, since 2×106017120² = 22479259466188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106017093 and 106017102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092912 + ... + 1093008.

It is an arithmetic number, because the mean of its divisors is an integer number (1111320).

Almost surely, 2^106017120 is an apocalyptic number.

106017120 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 106017120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

106017120 is an abundant number, since it is smaller than the sum of its proper divisors (320729760).

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

106017120 is a wasteful number, since it uses less digits than its factorization.

106017120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 106017120 is about 10296.4615281173. The cubic root of 106017120 is about 473.2878265228.

Adding to 106017120 its reverse (21710601), we get a palindrome (127727721).

The spelling of 106017120 in words is "one hundred six million, seventeen thousand, one hundred twenty".