106152 has 16 divisors (see below), whose sum is σ = 265440. Its totient is φ = 35376.

The previous prime is 106129. The next prime is 106163. The reversal of 106152 is 251601.

It is a super-2 number, since 2×106152² = 22536494208, which contains 22 as substring.

It is an Ulam number.

It is an unprimeable number.

106152 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188 + ... + 2235.

It is an arithmetic number, because the mean of its divisors is an integer number (16590).

2¹⁰⁶¹⁵² is an apocalyptic number.

106152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106152 is an abundant number, since it is smaller than the sum of its proper divisors (159288).

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

106152 is a wasteful number, since it uses less digits than its factorization.

106152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4432 (or 4428 counting only the distinct ones).

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

The square root of 106152 is about 325.8097604431. The cubic root of 106152 is about 47.3488454525.

Adding to 106152 its reverse (251601), we get a palindrome (357753).

The spelling of 106152 in words is "one hundred six thousand, one hundred fifty-two".