106682928 has 80 divisors (see below), whose sum is σ = 303897216. Its totient is φ = 31979520.

The previous prime is 106682923. The next prime is 106682941. The reversal of 106682928 is 829286601.

It is a super-2 number, since 2×106682928² = 22762494253306368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 106682928.

It is not an unprimeable number, because it can be changed into a prime (106682923) 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, 50175 + ... + 52257.

Almost surely, 2^106682928 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 106682928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151948608).

106682928 is an abundant number, since it is smaller than the sum of its proper divisors (197214288).

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

106682928 is a wasteful number, since it uses less digits than its factorization.

106682928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 106682928 is about 10328.7428082996. The cubic root of 106682928 is about 474.2765393023.

The spelling of 106682928 in words is "one hundred six million, six hundred eighty-two thousand, nine hundred twenty-eight".