107864064 has 336 divisors, whose sum is σ = 408919680. Its totient is φ = 26542080.

The previous prime is 107864059. The next prime is 107864069. The reversal of 107864064 is 460468701.

107864064 is a `hidden beast` number, since 1 + 0 + 7 + 8 + 640 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (107864059) and next prime (107864069).

It is a tau number, because it is divible by the number of its divisors (336).

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 (107864069) 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, 5677047 + ... + 5677065.

Almost surely, 2^107864064 is an apocalyptic number.

107864064 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 107864064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204459840).

107864064 is an abundant number, since it is smaller than the sum of its proper divisors (301055616).

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

107864064 is a wasteful number, since it uses less digits than its factorization.

107864064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 107864064 is about 10385.7625622773. The cubic root of 107864064 is about 476.0204308252.

The spelling of 107864064 in words is "one hundred seven million, eight hundred sixty-four thousand, sixty-four".