106684140 has 24 divisors (see below), whose sum is σ = 298715760. Its totient is φ = 28449088.

The previous prime is 106684117. The next prime is 106684147. The reversal of 106684140 is 41486601.

It is a super-2 number, since 2×106684140² = 22763011455079200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 106684098 and 106684107.

It is not an unprimeable number, because it can be changed into a prime (106684147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888975 + ... + 889094.

It is an arithmetic number, because the mean of its divisors is an integer number (12446490).

Almost surely, 2^106684140 is an apocalyptic number.

106684140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106684140 is an abundant number, since it is smaller than the sum of its proper divisors (192031620).

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

106684140 is a wasteful number, since it uses less digits than its factorization.

106684140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778081 (or 1778079 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 106684140 is about 10328.8014793586. The cubic root of 106684140 is about 474.2783353441.

The spelling of 106684140 in words is "one hundred six million, six hundred eighty-four thousand, one hundred forty".