106512 has 40 divisors (see below), whose sum is σ = 315456. Its totient is φ = 30336.

The previous prime is 106501. The next prime is 106531. The reversal of 106512 is 215601.

It is a super-2 number, since 2×106512² = 22689612288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106491 and 106500.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106512.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178 + ... + 494.

2¹⁰⁶⁵¹² is an apocalyptic number.

106512 is a gapful number since it is divisible by the number (12) 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 106512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157728).

106512 is an abundant number, since it is smaller than the sum of its proper divisors (208944).

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

106512 is a wasteful number, since it uses less digits than its factorization.

106512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 106512 is about 326.3617624661. The cubic root of 106512 is about 47.4023107706.

The spelling of 106512 in words is "one hundred six thousand, five hundred twelve".