106680618 has 96 divisors (see below), whose sum is σ = 270043200. Its totient is φ = 31157280.

The previous prime is 106680571. The next prime is 106680619. The reversal of 106680618 is 816086601.

It is a super-2 number, since 2×106680618² = 22761508513723848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106680619) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189205 + ... + 189767.

It is an arithmetic number, because the mean of its divisors is an integer number (2812950).

Almost surely, 2^106680618 is an apocalyptic number.

106680618 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106680618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135021600).

106680618 is an abundant number, since it is smaller than the sum of its proper divisors (163362582).

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

106680618 is a wasteful number, since it uses less digits than its factorization.

106680618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 106680618 is about 10328.6309838236. The cubic root of 106680618 is about 474.2731161157.

The spelling of 106680618 in words is "one hundred six million, six hundred eighty thousand, six hundred eighteen".