100001965 has 8 divisors (see below), whose sum is σ = 137145600. Its totient is φ = 68572752.

The previous prime is 100001929. The next prime is 100001983. The reversal of 100001965 is 569100001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100001965 is a prime.

It is a super-2 number, since 2×100001965² = 20000786007722450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1428565 + ... + 1428634.

It is an arithmetic number, because the mean of its divisors is an integer number (17143200).

Almost surely, 2^100001965 is an apocalyptic number.

It is an amenable number.

100001965 is a deficient number, since it is larger than the sum of its proper divisors (37143635).

100001965 is an equidigital number, since it uses as much as digits as its factorization.

100001965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2857211.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 100001965 is about 10000.0982495174. The cubic root of 100001965 is about 464.1619235821.

Adding to 100001965 its reverse (569100001), we get a palindrome (669101966).

The spelling of 100001965 in words is "one hundred million, one thousand, nine hundred sixty-five".