106133456 has 60 divisors (see below), whose sum is σ = 243471396. Its totient is φ = 44520960.

The previous prime is 106133453. The next prime is 106133471. The reversal of 106133456 is 654331601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 55950400 + 50183056 = 7480^2 + 7084^2 .

It is a super-2 number, since 2×106133456² = 22528620965007872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106133453) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23060 + ... + 27276.

Almost surely, 2^106133456 is an apocalyptic number.

106133456 is a gapful number since it is divisible by the number (16) 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 106133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121735698).

106133456 is an abundant number, since it is smaller than the sum of its proper divisors (137337940).

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

106133456 is a wasteful number, since it uses less digits than its factorization.

106133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4243 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 106133456 is about 10302.1092985854. The cubic root of 106133456 is about 473.4608812301.

The spelling of 106133456 in words is "one hundred six million, one hundred thirty-three thousand, four hundred fifty-six".