106588416 has 216 divisors, whose sum is σ = 330572032. Its totient is φ = 30412800.

The previous prime is 106588409. The next prime is 106588421. The reversal of 106588416 is 614885601.

It is a super-2 number, since 2×106588416² = 22722180850778112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2880750 + ... + 2880786.

Almost surely, 2^106588416 is an apocalyptic number.

106588416 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 106588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165286016).

106588416 is an abundant number, since it is smaller than the sum of its proper divisors (223983616).

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

106588416 is a wasteful number, since it uses less digits than its factorization.

106588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106588416 is about 10324.1666007480. The cubic root of 106588416 is about 474.1364416983.

The spelling of 106588416 in words is "one hundred six million, five hundred eighty-eight thousand, four hundred sixteen".