102116757 has 16 divisors (see below), whose sum is σ = 143491968. Its totient is φ = 64468800.

The previous prime is 102116753. The next prime is 102116771. The reversal of 102116757 is 757611201.

It is not a de Polignac number, because 102116757 - 2² = 102116753 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116753) 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, 358 + ... + 14295.

It is an arithmetic number, because the mean of its divisors is an integer number (8968248).

Almost surely, 2^102116757 is an apocalyptic number.

It is an amenable number.

102116757 is a deficient number, since it is larger than the sum of its proper divisors (41375211).

102116757 is a wasteful number, since it uses less digits than its factorization.

102116757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14780.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 102116757 is about 10105.2836179892. The cubic root of 102116757 is about 467.4110816809.

Adding to 102116757 its reverse (757611201), we get a palindrome (859727958).

The spelling of 102116757 in words is "one hundred two million, one hundred sixteen thousand, seven hundred fifty-seven".