102666753 has 24 divisors (see below), whose sum is σ = 173092608. Its totient is φ = 57416832.

The previous prime is 102666731. The next prime is 102666763. The reversal of 102666753 is 357666201.

It is not a de Polignac number, because 102666753 - 2¹⁰ = 102665729 is a prime.

It is a super-4 number, since 4×102666753⁴ (a number of 33 digits) contains 4444 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102666763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14376 + ... + 20297.

It is an arithmetic number, because the mean of its divisors is an integer number (7212192).

Almost surely, 2^102666753 is an apocalyptic number.

It is an amenable number.

102666753 is a deficient number, since it is larger than the sum of its proper divisors (70425855).

102666753 is a wasteful number, since it uses less digits than its factorization.

102666753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34733 (or 34730 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 102666753 is about 10132.4603626168. The cubic root of 102666753 is about 468.2487309203.

The spelling of 102666753 in words is "one hundred two million, six hundred sixty-six thousand, seven hundred fifty-three".