106155216 has 60 divisors (see below), whose sum is σ = 298323168. Its totient is φ = 35237952.

The previous prime is 106155197. The next prime is 106155221. The reversal of 106155216 is 612551601.

It is a happy number.

106155216 is a `hidden beast` number, since 106 + 1 + 552 + 1 + 6 = 666.

It is a super-2 number, since 2×106155216² = 22537859768013312, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106155216.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 36471 + ... + 39273.

Almost surely, 2^106155216 is an apocalyptic number.

106155216 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 106155216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149161584).

106155216 is an abundant number, since it is smaller than the sum of its proper divisors (192167952).

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

106155216 is a wasteful number, since it uses less digits than its factorization.

106155216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080 (or 3071 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 106155216 is about 10303.1653388655. The cubic root of 106155216 is about 473.4932361071.

The spelling of 106155216 in words is "one hundred six million, one hundred fifty-five thousand, two hundred sixteen".