106682940 has 288 divisors, whose sum is σ = 413199360. Its totient is φ = 22374144.

The previous prime is 106682923. The next prime is 106682941. The reversal of 106682940 is 49286601.

It is a super-2 number, since 2×106682940² = 22762499374087200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 106682895 and 106682904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106682941) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 638737 + ... + 638903.

It is an arithmetic number, because the mean of its divisors is an integer number (1434720).

Almost surely, 2^106682940 is an apocalyptic number.

106682940 is a gapful number since it is divisible by the number (10) 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 106682940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206599680).

106682940 is an abundant number, since it is smaller than the sum of its proper divisors (306516420).

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

106682940 is a wasteful number, since it uses less digits than its factorization.

106682940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106682940 is about 10328.7433892028. The cubic root of 106682940 is about 474.2765570849.

The spelling of 106682940 in words is "one hundred six million, six hundred eighty-two thousand, nine hundred forty".