106441452 has 120 divisors (see below), whose sum is σ = 308213136. Its totient is φ = 31819392.

The previous prime is 106441429. The next prime is 106441457. The reversal of 106441452 is 254144601.

106441452 is a `hidden beast` number, since 1 + 0 + 644 + 14 + 5 + 2 = 666.

It is a super-2 number, since 2×106441452² = 22659565407736608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106441457) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 155503 + ... + 156185.

Almost surely, 2^106441452 is an apocalyptic number.

106441452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

106441452 is the 8424-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106441452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154106568).

106441452 is an abundant number, since it is smaller than the sum of its proper divisors (201771684).

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

106441452 is a wasteful number, since it uses less digits than its factorization.

106441452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 106441452 is about 10317.0466704382. The cubic root of 106441452 is about 473.9184285203.

The spelling of 106441452 in words is "one hundred six million, four hundred forty-one thousand, four hundred fifty-two".