106542120 has 128 divisors (see below), whose sum is σ = 341107200. Its totient is φ = 26544384.

The previous prime is 106542119. The next prime is 106542151. The reversal of 106542120 is 21245601.

It is a super-2 number, since 2×106542120² = 22702446668188800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188959 + ... + 189521.

It is an arithmetic number, because the mean of its divisors is an integer number (2664900).

Almost surely, 2^106542120 is an apocalyptic number.

106542120 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 106542120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170553600).

106542120 is an abundant number, since it is smaller than the sum of its proper divisors (234565080).

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

106542120 is a wasteful number, since it uses less digits than its factorization.

106542120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 106542120 is about 10321.9242392104. The cubic root of 106542120 is about 474.0677857088.

Adding to 106542120 its reverse (21245601), we get a palindrome (127787721).

The spelling of 106542120 in words is "one hundred six million, five hundred forty-two thousand, one hundred twenty".