106512120 has 192 divisors, whose sum is σ = 406879200. Its totient is φ = 23823360.

The previous prime is 106512083. The next prime is 106512151. The reversal of 106512120 is 21215601.

106512120 is a `hidden beast` number, since 1 + 0 + 651 + 2 + 12 + 0 = 666.

It is a super-2 number, since 2×106512120² = 22689663413788800, 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 = 106512093 and 106512102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50446 + ... + 52514.

Almost surely, 2^106512120 is an apocalyptic number.

106512120 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 106512120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203439600).

106512120 is an abundant number, since it is smaller than the sum of its proper divisors (300367080).

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

106512120 is a wasteful number, since it uses less digits than its factorization.

106512120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2103 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 106512120 is about 10320.4709194881. The cubic root of 106512120 is about 474.0232857225.

Adding to 106512120 its reverse (21215601), we get a palindrome (127727721).

The spelling of 106512120 in words is "one hundred six million, five hundred twelve thousand, one hundred twenty".