102761085 has 32 divisors (see below), whose sum is σ = 191750400. Its totient is φ = 46974144.

The previous prime is 102761083. The next prime is 102761093. The reversal of 102761085 is 580167201.

It is not a de Polignac number, because 102761085 - 2¹ = 102761083 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102761083) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4842 + ... + 15131.

It is an arithmetic number, because the mean of its divisors is an integer number (5992200).

Almost surely, 2^102761085 is an apocalyptic number.

102761085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102761085 is a deficient number, since it is larger than the sum of its proper divisors (88989315).

102761085 is an equidigital number, since it uses as much as digits as its factorization.

102761085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20002 (or 19988 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 102761085 is about 10137.1142343371. The cubic root of 102761085 is about 468.3920987149.

The spelling of 102761085 in words is "one hundred two million, seven hundred sixty-one thousand, eighty-five".