106241364 has 72 divisors (see below), whose sum is σ = 288707328. Its totient is φ = 32820480.

The previous prime is 106241363. The next prime is 106241419. The reversal of 106241364 is 463142601.

106241364 is a `hidden beast` number, since 1 + 0 + 624 + 1 + 36 + 4 = 666.

It is a super-2 number, since 2×106241364² = 22574454849160992, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106241363) 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 23 ways as a sum of consecutive naturals, for example, 39709 + ... + 42299.

It is an arithmetic number, because the mean of its divisors is an integer number (4009824).

Almost surely, 2^106241364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106241364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144353664).

106241364 is an abundant number, since it is smaller than the sum of its proper divisors (182465964).

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

106241364 is a wasteful number, since it uses less digits than its factorization.

106241364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 106241364 is about 10307.3451480000. The cubic root of 106241364 is about 473.6212859182.

Adding to 106241364 its reverse (463142601), we get a palindrome (569383965).

The spelling of 106241364 in words is "one hundred six million, two hundred forty-one thousand, three hundred sixty-four".