102008781 has 16 divisors (see below), whose sum is σ = 172713600. Its totient is φ = 58290624.

The previous prime is 102008761. The next prime is 102008801. The reversal of 102008781 is 187800201.

It is an interprime number because it is at equal distance from previous prime (102008761) and next prime (102008801).

It is not a de Polignac number, because 102008781 - 2¹⁰ = 102007757 is a prime.

It is a super-2 number, since 2×102008781² = 20811582802211922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102008761) 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, 269676 + ... + 270053.

It is an arithmetic number, because the mean of its divisors is an integer number (10794600).

Almost surely, 2^102008781 is an apocalyptic number.

It is an amenable number.

102008781 is a deficient number, since it is larger than the sum of its proper divisors (70704819).

102008781 is an equidigital number, since it uses as much as digits as its factorization.

102008781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539745 (or 539739 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 102008781 is about 10099.9396532851. The cubic root of 102008781 is about 467.2462802020.

Adding to 102008781 its reverse (187800201), we get a palindrome (289808982).

It can be divided in two parts, 10200 and 8781, that added together give a palindrome (18981).

The spelling of 102008781 in words is "one hundred two million, eight thousand, seven hundred eighty-one".