106133120 has 32 divisors (see below), whose sum is σ = 253726020. Its totient is φ = 42452992.

The previous prime is 106133113. The next prime is 106133129. The reversal of 106133120 is 21331601.

It can be written as a sum of positive squares in 2 ways, for example, as 94789696 + 11343424 = 9736^2 + 3368^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×106133120² = 22528478321868800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106133129) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 82277 + ... + 83556.

Almost surely, 2^106133120 is an apocalyptic number.

106133120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106133120 is an abundant number, since it is smaller than the sum of its proper divisors (147592900).

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

106133120 is an equidigital number, since it uses as much as digits as its factorization.

106133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165852 (or 165840 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 106133120 is about 10302.0929912324. The cubic root of 106133120 is about 473.4603815980.

Adding to 106133120 its reverse (21331601), we get a palindrome (127464721).

The spelling of 106133120 in words is "one hundred six million, one hundred thirty-three thousand, one hundred twenty".