106684160 has 72 divisors (see below), whose sum is σ = 278809776. Its totient is φ = 38789120.

The previous prime is 106684157. The next prime is 106684187. The reversal of 106684160 is 61486601.

It is a happy number.

It is a super-2 number, since 2×106684160² = 22763019989811200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10292 + ... + 17868.

It is an arithmetic number, because the mean of its divisors is an integer number (3872358).

Almost surely, 2^106684160 is an apocalyptic number.

106684160 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 106684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139404888).

106684160 is an abundant number, since it is smaller than the sum of its proper divisors (172125616).

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

106684160 is an equidigital number, since it uses as much as digits as its factorization.

106684160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7595 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 106684160 is about 10328.8024475251. The cubic root of 106684160 is about 474.2783649816.

The spelling of 106684160 in words is "one hundred six million, six hundred eighty-four thousand, one hundred sixty".