107080064 has 128 divisors (see below), whose sum is σ = 272462400. Its totient is φ = 40771584.

The previous prime is 107080063. The next prime is 107080081. The reversal of 107080064 is 460080701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×107080064² = 22932280212488192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107080063) 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 15 ways as a sum of consecutive naturals, for example, 337634 + ... + 337950.

Almost surely, 2^107080064 is an apocalyptic number.

107080064 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 107080064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136231200).

107080064 is an abundant number, since it is smaller than the sum of its proper divisors (165382336).

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

107080064 is a wasteful number, since it uses less digits than its factorization.

107080064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 107080064 is about 10347.9497486217. The cubic root of 107080064 is about 474.8643217289.

The spelling of 107080064 in words is "one hundred seven million, eighty thousand, sixty-four".