107109216 has 180 divisors, whose sum is σ = 333064116. Its totient is φ = 33747840.

The previous prime is 107109181. The next prime is 107109217. The reversal of 107109216 is 612901701.

It is a super-2 number, since 2×107109216² = 22944768304269312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107109216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107109217) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2490891 + ... + 2490933.

Almost surely, 2^107109216 is an apocalyptic number.

107109216 is a gapful number since it is divisible by the number (16) 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 107109216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166532058).

107109216 is an abundant number, since it is smaller than the sum of its proper divisors (225954900).

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

107109216 is an equidigital number, since it uses as much as digits as its factorization.

107109216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 107109216 is about 10349.3582409732. The cubic root of 107109216 is about 474.9074109469.

The spelling of 107109216 in words is "one hundred seven million, one hundred nine thousand, two hundred sixteen".