102027761 has 16 divisors (see below), whose sum is σ = 118272960. Its totient is φ = 86983680.

The previous prime is 102027749. The next prime is 102027763. The reversal of 102027761 is 167720201.

It is a cyclic number.

It is not a de Polignac number, because 102027761 - 2²² = 97833457 is a prime.

It is a super-4 number, since 4×102027761⁴ (a number of 33 digits) contains 4444 as substring.

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 102027761.

It is not an unprimeable number, because it can be changed into a prime (102027763) 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, 62210 + ... + 63828.

It is an arithmetic number, because the mean of its divisors is an integer number (7392060).

Almost surely, 2^102027761 is an apocalyptic number.

102027761 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102027761 is a deficient number, since it is larger than the sum of its proper divisors (16245199).

102027761 is a wasteful number, since it uses less digits than its factorization.

102027761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 102027761 is about 10100.8792191571. The cubic root of 102027761 is about 467.2752573951.

Adding to 102027761 its reverse (167720201), we get a palindrome (269747962).

The spelling of 102027761 in words is "one hundred two million, twenty-seven thousand, seven hundred sixty-one".