102065131 has 16 divisors (see below), whose sum is σ = 123400960. Its totient is φ = 82464480.

The previous prime is 102065107. The next prime is 102065143. The reversal of 102065131 is 131560201.

It is not a de Polignac number, because 102065131 - 2⁹ = 102064619 is a prime.

It is a super-2 number, since 2×102065131² = 20834581932094322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102065099 and 102065108.

It is not an unprimeable number, because it can be changed into a prime (102065731) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26245 + ... + 29881.

It is an arithmetic number, because the mean of its divisors is an integer number (7712560).

Almost surely, 2^102065131 is an apocalyptic number.

102065131 is a deficient number, since it is larger than the sum of its proper divisors (21335829).

102065131 is a wasteful number, since it uses less digits than its factorization.

102065131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3874.

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 102065131 is about 10102.7288887706. The cubic root of 102065131 is about 467.3323005131.

The spelling of 102065131 in words is "one hundred two million, sixty-five thousand, one hundred thirty-one".