107705628 has 36 divisors (see below), whose sum is σ = 273211848. Its totient is φ = 35775840.

The previous prime is 107705627. The next prime is 107705629. The reversal of 107705628 is 826507701.

It is an interprime number because it is at equal distance from previous prime (107705627) and next prime (107705629).

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 107705592 and 107705601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107705627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5443 + ... + 15653.

It is an arithmetic number, because the mean of its divisors is an integer number (7589218).

Almost surely, 2^107705628 is an apocalyptic number.

107705628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

107705628 is an abundant number, since it is smaller than the sum of its proper divisors (165506220).

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

107705628 is a wasteful number, since it uses less digits than its factorization.

107705628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10514 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 107705628 is about 10378.1322018945. The cubic root of 107705628 is about 475.7872492736.

The spelling of 107705628 in words is "one hundred seven million, seven hundred five thousand, six hundred twenty-eight".