106131120 has 80 divisors (see below), whose sum is σ = 332106720. Its totient is φ = 28035072.

The previous prime is 106131107. The next prime is 106131121. The reversal of 106131120 is 21131601.

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

It is a super-2 number, since 2×106131120² = 22527629264908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106131120.

It is not an unprimeable number, because it can be changed into a prime (106131121) 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, 24132 + ... + 28188.

It is an arithmetic number, because the mean of its divisors is an integer number (4151334).

Almost surely, 2^106131120 is an apocalyptic number.

106131120 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 106131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053360).

106131120 is an abundant number, since it is smaller than the sum of its proper divisors (225975600).

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

106131120 is a wasteful number, since it uses less digits than its factorization.

106131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4176 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106131120 is about 10301.9959231209. The cubic root of 106131120 is about 473.4574075760.

Adding to 106131120 its reverse (21131601), we get a palindrome (127262721).

The spelling of 106131120 in words is "one hundred six million, one hundred thirty-one thousand, one hundred twenty".