102116759 has 16 divisors (see below), whose sum is σ = 108810240. Its totient is φ = 95683680.

The previous prime is 102116753. The next prime is 102116771. The reversal of 102116759 is 957611201.

It is a cyclic number.

It is not a de Polignac number, because 102116759 - 2⁸ = 102116503 is a prime.

It is a Duffinian number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158492 + ... + 159134.

It is an arithmetic number, because the mean of its divisors is an integer number (6800640).

Almost surely, 2^102116759 is an apocalyptic number.

102116759 is a deficient number, since it is larger than the sum of its proper divisors (6693481).

102116759 is a wasteful number, since it uses less digits than its factorization.

102116759 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830.

The product of its (nonzero) digits is 3780, while the sum is 32.

The square root of 102116759 is about 10105.2837169473. The cubic root of 102116759 is about 467.4110847324.

The spelling of 102116759 in words is "one hundred two million, one hundred sixteen thousand, seven hundred fifty-nine".