107004618 has 128 divisors (see below), whose sum is σ = 293068800. Its totient is φ = 28257984.

The previous prime is 107004607. The next prime is 107004619. The reversal of 107004618 is 816400701.

It is a happy number.

It is a super-2 number, since 2×107004618² = 22899976546651848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 107004591 and 107004600.

It is not an unprimeable number, because it can be changed into a prime (107004619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 337396 + ... + 337712.

It is an arithmetic number, because the mean of its divisors is an integer number (2289600).

Almost surely, 2^107004618 is an apocalyptic number.

107004618 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 107004618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146534400).

107004618 is an abundant number, since it is smaller than the sum of its proper divisors (186064182).

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

107004618 is a wasteful number, since it uses less digits than its factorization.

107004618 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107004618 is about 10344.3036498355. The cubic root of 107004618 is about 474.7527695882.

The spelling of 107004618 in words is "one hundred seven million, four thousand, six hundred eighteen".