10906416 has 120 divisors (see below), whose sum is σ = 33078240. Its totient is φ = 3345408.

The previous prime is 10906411. The next prime is 10906417. The reversal of 10906416 is 61460901.

10906416 is a `hidden beast` number, since 10 + 9 + 0 + 641 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10906416.

It is not an unprimeable number, because it can be changed into a prime (10906411) 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 23 ways as a sum of consecutive naturals, for example, 122500 + ... + 122588.

It is an arithmetic number, because the mean of its divisors is an integer number (275652).

Almost surely, 2^10906416 is an apocalyptic number.

10906416 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 10906416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16539120).

10906416 is an abundant number, since it is smaller than the sum of its proper divisors (22171824).

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

10906416 is a wasteful number, since it uses less digits than its factorization.

10906416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10906416 is about 3302.4863360807. The cubic root of 10906416 is about 221.7655181876.

The spelling of 10906416 in words is "ten million, nine hundred six thousand, four hundred sixteen".