106533468 has 60 divisors (see below), whose sum is σ = 283270680. Its totient is φ = 34903008.

The previous prime is 106533467. The next prime is 106533473. The reversal of 106533468 is 864335601.

It is a super-2 number, since 2×106533468² = 22698759608214048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106533467) 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 19 ways as a sum of consecutive naturals, for example, 16330 + ... + 21902.

It is an arithmetic number, because the mean of its divisors is an integer number (4721178).

Almost surely, 2^106533468 is an apocalyptic number.

106533468 is a gapful number since it is divisible by the number (18) 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 106533468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141635340).

106533468 is an abundant number, since it is smaller than the sum of its proper divisors (176737212).

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

106533468 is a wasteful number, since it uses less digits than its factorization.

106533468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5648 (or 5637 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 106533468 is about 10321.5051228006. The cubic root of 106533468 is about 474.0549527700.

The spelling of 106533468 in words is "one hundred six million, five hundred thirty-three thousand, four hundred sixty-eight".