106832448 has 126 divisors (see below), whose sum is σ = 318051942. Its totient is φ = 34283520.

The previous prime is 106832443. The next prime is 106832449. The reversal of 106832448 is 844238601.

It can be written as a sum of positive squares in only one way, i.e., 79709184 + 27123264 = 8928^2 + 5208^2 .

It is a super-2 number, since 2×106832448² = 22826343891345408, which contains 22 as substring.

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

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (106832443) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 553440 + ... + 553632.

Almost surely, 2^106832448 is an apocalyptic number.

106832448 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 106832448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159025971).

106832448 is an abundant number, since it is smaller than the sum of its proper divisors (211219494).

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

106832448 is a wasteful number, since it uses less digits than its factorization.

106832448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 106832448 is about 10335.9783281507. The cubic root of 106832448 is about 474.4980078035.

It can be divided in two parts, 10683 and 2448, that added together give a palindrome (13131).

The spelling of 106832448 in words is "one hundred six million, eight hundred thirty-two thousand, four hundred forty-eight".