107346680 has 64 divisors (see below), whose sum is σ = 278691840. Its totient is φ = 36450432.

The previous prime is 107346671. The next prime is 107346683. The reversal of 107346680 is 86643701.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 107346680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107346683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28169 + ... + 31751.

It is an arithmetic number, because the mean of its divisors is an integer number (4354560).

Almost surely, 2^107346680 is an apocalyptic number.

107346680 is a gapful number since it is divisible by the number (10) 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 107346680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139345920).

107346680 is an abundant number, since it is smaller than the sum of its proper divisors (171345160).

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

107346680 is a wasteful number, since it uses less digits than its factorization.

107346680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3708 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 107346680 is about 10360.8242915320. The cubic root of 107346680 is about 475.2581127183.

The spelling of 107346680 in words is "one hundred seven million, three hundred forty-six thousand, six hundred eighty".