106642152 has 48 divisors (see below), whose sum is σ = 293569380. Its totient is φ = 34963200.

The previous prime is 106642147. The next prime is 106642169. The reversal of 106642152 is 251246601.

106642152 is a `hidden beast` number, since 1 + 0 + 6 + 642 + 15 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 106626276 + 15876 = 10326^2 + 126^2 .

It is a super-2 number, since 2×106642152² = 22745097166382208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7749 + ... + 16532.

Almost surely, 2^106642152 is an apocalyptic number.

106642152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106642152 is an abundant number, since it is smaller than the sum of its proper divisors (186927228).

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

106642152 is a wasteful number, since it uses less digits than its factorization.

106642152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24354 (or 24347 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 106642152 is about 10326.7687104922. The cubic root of 106642152 is about 474.2161061260.

Adding to 106642152 its reverse (251246601), we get a palindrome (357888753).

The spelling of 106642152 in words is "one hundred six million, six hundred forty-two thousand, one hundred fifty-two".