106285452 has 72 divisors (see below), whose sum is σ = 306948096. Its totient is φ = 28027584.

The previous prime is 106285441. The next prime is 106285463. The reversal of 106285452 is 254582601.

It is an interprime number because it is at equal distance from previous prime (106285441) and next prime (106285463).

It is a super-2 number, since 2×106285452² = 22593194613688608, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10453 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (4263168).

Almost surely, 2^106285452 is an apocalyptic number.

106285452 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 106285452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153474048).

106285452 is an abundant number, since it is smaller than the sum of its proper divisors (200662644).

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

106285452 is a wasteful number, since it uses less digits than its factorization.

106285452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7527 (or 7512 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 106285452 is about 10309.4835952147. The cubic root of 106285452 is about 473.6867912504.

The spelling of 106285452 in words is "one hundred six million, two hundred eighty-five thousand, four hundred fifty-two".