106433712 has 240 divisors, whose sum is σ = 385332480. Its totient is φ = 26611200.

The previous prime is 106433693. The next prime is 106433713. The reversal of 106433712 is 217334601.

106433712 is a `hidden beast` number, since 1 + 0 + 643 + 3 + 7 + 12 = 666.

It is a super-2 number, since 2×106433712² = 22656270100197888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106433713) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321387 + ... + 321717.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 2^106433712 is an apocalyptic number.

106433712 is a gapful number since it is divisible by the number (12) 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 106433712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

106433712 is an abundant number, since it is smaller than the sum of its proper divisors (278898768).

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

106433712 is a wasteful number, since it uses less digits than its factorization.

106433712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 106433712 is about 10316.6715562724. The cubic root of 106433712 is about 473.9069410860.

The spelling of 106433712 in words is "one hundred six million, four hundred thirty-three thousand, seven hundred twelve".