107768304 has 240 divisors, whose sum is σ = 385332480. Its totient is φ = 27371520.

The previous prime is 107768303. The next prime is 107768333. The reversal of 107768304 is 403867701.

It is a super-2 number, since 2×107768304² = 23228014694072832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107768303) 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, 325419 + ... + 325749.

It is an arithmetic number, because the mean of its divisors is an integer number (1605552).

Almost surely, 2^107768304 is an apocalyptic number.

107768304 is a gapful number since it is divisible by the number (14) 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 107768304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192666240).

107768304 is an abundant number, since it is smaller than the sum of its proper divisors (277564176).

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

107768304 is a wasteful number, since it uses less digits than its factorization.

107768304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107768304 is about 10381.1513812293. The cubic root of 107768304 is about 475.8795213294.

The spelling of 107768304 in words is "one hundred seven million, seven hundred sixty-eight thousand, three hundred four".