106680210 has 128 divisors (see below), whose sum is σ = 329011200. Its totient is φ = 21517056.

The previous prime is 106680209. The next prime is 106680221. The reversal of 106680210 is 12086601.

It is a super-2 number, since 2×106680210² = 22761334411288200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61941 + ... + 63639.

It is an arithmetic number, because the mean of its divisors is an integer number (2570400).

Almost surely, 2^106680210 is an apocalyptic number.

106680210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106680210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164505600).

106680210 is an abundant number, since it is smaller than the sum of its proper divisors (222330990).

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

106680210 is a wasteful number, since it uses less digits than its factorization.

106680210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 106680210 is about 10328.6112328812. The cubic root of 106680210 is about 474.2725114958.

The spelling of 106680210 in words is "one hundred six million, six hundred eighty thousand, two hundred ten".