107216640 has 216 divisors, whose sum is σ = 381680208. Its totient is φ = 27770880.

The previous prime is 107216621. The next prime is 107216647. The reversal of 107216640 is 46612701.

107216640 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 16 + 640 = 666.

It is a super-2 number, since 2×107216640² = 22990815785779200, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107216647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 472207 + ... + 472433.

It is an arithmetic number, because the mean of its divisors is an integer number (1767038).

Almost surely, 2^107216640 is an apocalyptic number.

107216640 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 107216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190840104).

107216640 is an abundant number, since it is smaller than the sum of its proper divisors (274463568).

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

107216640 is a wasteful number, since it uses less digits than its factorization.

107216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107216640 is about 10354.5468273604. The cubic root of 107216640 is about 475.0661256048.

The spelling of 107216640 in words is "one hundred seven million, two hundred sixteen thousand, six hundred forty".