106682016 has 72 divisors (see below), whose sum is σ = 325775520. Its totient is φ = 30479232.

The previous prime is 106682003. The next prime is 106682029. The reversal of 106682016 is 610286601.

It is an interprime number because it is at equal distance from previous prime (106682003) and next prime (106682029).

It is a super-2 number, since 2×106682016² = 22762105075648512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6636 + ... + 16043.

It is an arithmetic number, because the mean of its divisors is an integer number (4524660).

Almost surely, 2^106682016 is an apocalyptic number.

106682016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106682016 is an abundant number, since it is smaller than the sum of its proper divisors (219093504).

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

106682016 is a wasteful number, since it uses less digits than its factorization.

106682016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22706 (or 22691 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 106682016 is about 10328.6986595602. The cubic root of 106682016 is about 474.2751878163.

The spelling of 106682016 in words is "one hundred six million, six hundred eighty-two thousand, sixteen".