106443456 has 112 divisors (see below), whose sum is σ = 333085440. Its totient is φ = 29352960.

The previous prime is 106443439. The next prime is 106443457. The reversal of 106443456 is 654344601.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×106443456² = 22660418650447872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106443457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37611 + ... + 40341.

Almost surely, 2^106443456 is an apocalyptic number.

106443456 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 106443456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166542720).

106443456 is an abundant number, since it is smaller than the sum of its proper divisors (226641984).

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

106443456 is a wasteful number, since it uses less digits than its factorization.

106443456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2782 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 106443456 is about 10317.1437907979. The cubic root of 106443456 is about 473.9214026955.

The spelling of 106443456 in words is "one hundred six million, four hundred forty-three thousand, four hundred fifty-six".