102301985 has 20 divisors (see below), whose sum is σ = 130407828. Its totient is φ = 77040288.

The previous prime is 102301963. The next prime is 102302009. The reversal of 102301985 is 589103201.

It can be written as a sum of positive squares in 2 ways, for example, as 33362176 + 68939809 = 5776^2 + 8303^2 .

It is not a de Polignac number, because 102301985 - 2²⁶ = 35193121 is a prime.

It is a super-2 number, since 2×102301985² = 20931392269880450, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 651527 + ... + 651683.

Almost surely, 2^102301985 is an apocalyptic number.

It is an amenable number.

102301985 is a deficient number, since it is larger than the sum of its proper divisors (28105843).

102301985 is an frugal number, since it uses more digits than its factorization.

102301985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 102301985 is about 10114.4443742600. Note that the first 3 decimals coincide. The cubic root of 102301985 is about 467.6935208803.

The spelling of 102301985 in words is "one hundred two million, three hundred one thousand, nine hundred eighty-five".