107628257 has 8 divisors (see below), whose sum is σ = 118899840. Its totient is φ = 96604560.

The previous prime is 107628233. The next prime is 107628263. The reversal of 107628257 is 752826701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107628257 - 2²⁴ = 90851041 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 107628257.

It is not an unprimeable number, because it can be changed into a prime (107628457) 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 7 ways as a sum of consecutive naturals, for example, 61058 + ... + 62795.

It is an arithmetic number, because the mean of its divisors is an integer number (14862480).

Almost surely, 2^107628257 is an apocalyptic number.

It is an amenable number.

107628257 is a deficient number, since it is larger than the sum of its proper divisors (11271583).

107628257 is a wasteful number, since it uses less digits than its factorization.

107628257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123943.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 107628257 is about 10374.4039346846. The cubic root of 107628257 is about 475.6732937505.

It can be divided in two parts, 10 and 7628257, that added together give a palindrome (7628267).

The spelling of 107628257 in words is "one hundred seven million, six hundred twenty-eight thousand, two hundred fifty-seven".