106265472 has 64 divisors (see below), whose sum is σ = 284620800. Its totient is φ = 35126784.

The previous prime is 106265447. The next prime is 106265473. The reversal of 106265472 is 274562601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106265472² = 22584701078765568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106265473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47679 + ... + 49857.

It is an arithmetic number, because the mean of its divisors is an integer number (4447200).

Almost surely, 2^106265472 is an apocalyptic number.

106265472 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 106265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142310400).

106265472 is an abundant number, since it is smaller than the sum of its proper divisors (178355328).

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

106265472 is a wasteful number, since it uses less digits than its factorization.

106265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 106265472 is about 10308.5145389624. The cubic root of 106265472 is about 473.6571074915.

The spelling of 106265472 in words is "one hundred six million, two hundred sixty-five thousand, four hundred seventy-two".