100096065 has 24 divisors (see below), whose sum is σ = 176777640. Its totient is φ = 52376064.

The previous prime is 100096001. The next prime is 100096093. The reversal of 100096065 is 560690001.

It can be written as a sum of positive squares in 4 ways, for example, as 14107536 + 85988529 = 3756^2 + 9273^2 .

It is not a de Polignac number, because 100096065 - 2⁶ = 100096001 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18600 + ... + 23369.

It is an arithmetic number, because the mean of its divisors is an integer number (7365735).

Almost surely, 2^100096065 is an apocalyptic number.

100096065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100096065 is a deficient number, since it is larger than the sum of its proper divisors (76681575).

100096065 is a wasteful number, since it uses less digits than its factorization.

100096065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42033 (or 42030 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 100096065 is about 10004.8020969932. The cubic root of 100096065 is about 464.3074672028.

The spelling of 100096065 in words is "one hundred million, ninety-six thousand, sixty-five".