106375456 has 72 divisors (see below), whose sum is σ = 233673552. Its totient is φ = 47625600.

The previous prime is 106375453. The next prime is 106375457. The reversal of 106375456 is 654573601.

It is a super-2 number, since 2×106375456² = 22631475278415872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106375453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321211 + ... + 321541.

It is an arithmetic number, because the mean of its divisors is an integer number (3245466).

Almost surely, 2^106375456 is an apocalyptic number.

106375456 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 106375456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116836776).

106375456 is an abundant number, since it is smaller than the sum of its proper divisors (127298096).

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

106375456 is a wasteful number, since it uses less digits than its factorization.

106375456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 106375456 is about 10313.8477785936. The cubic root of 106375456 is about 473.8204617153.

The spelling of 106375456 in words is "one hundred six million, three hundred seventy-five thousand, four hundred fifty-six".