106655416 has 64 divisors (see below), whose sum is σ = 252564480. Its totient is φ = 41141760.

The previous prime is 106655413. The next prime is 106655429. The reversal of 106655416 is 614556601.

It is a happy number.

It is a super-2 number, since 2×106655416² = 22750755524266112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106655411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19461 + ... + 24331.

It is an arithmetic number, because the mean of its divisors is an integer number (3946320).

Almost surely, 2^106655416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106655416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126282240).

106655416 is an abundant number, since it is smaller than the sum of its proper divisors (145909064).

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

106655416 is a wasteful number, since it uses less digits than its factorization.

106655416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4924 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 106655416 is about 10327.4109049655. The cubic root of 106655416 is about 474.2357660870.

The spelling of 106655416 in words is "one hundred six million, six hundred fifty-five thousand, four hundred sixteen".