106416366 has 96 divisors (see below), whose sum is σ = 263473152. Its totient is φ = 28019520.

The previous prime is 106416293. The next prime is 106416371. The reversal of 106416366 is 663614601.

It is a super-2 number, since 2×106416366² = 22648885905291912, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2264155 + ... + 2264201.

It is an arithmetic number, because the mean of its divisors is an integer number (2744512).

Almost surely, 2^106416366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106416366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131736576).

106416366 is an abundant number, since it is smaller than the sum of its proper divisors (157056786).

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

106416366 is a wasteful number, since it uses less digits than its factorization.

106416366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 106416366 is about 10315.8308439020. The cubic root of 106416366 is about 473.8811947435.

The spelling of 106416366 in words is "one hundred six million, four hundred sixteen thousand, three hundred sixty-six".