107626064 has 80 divisors (see below), whose sum is σ = 258650112. Its totient is φ = 42246144.

The previous prime is 107626061. The next prime is 107626067. The reversal of 107626064 is 460626701.

It is an interprime number because it is at equal distance from previous prime (107626061) and next prime (107626067).

It is a self number, because there is not a number n which added to its sum of digits gives 107626064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107626061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280817 + ... + 281199.

Almost surely, 2^107626064 is an apocalyptic number.

107626064 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 107626064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129325056).

107626064 is an abundant number, since it is smaller than the sum of its proper divisors (151024048).

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

107626064 is a wasteful number, since it uses less digits than its factorization.

107626064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 107626064 is about 10374.2982413270. The cubic root of 107626064 is about 475.6700630047.

The spelling of 107626064 in words is "one hundred seven million, six hundred twenty-six thousand, sixty-four".