100071965 has 64 divisors (see below), whose sum is σ = 152064000. Its totient is φ = 63024192.

The previous prime is 100071949. The next prime is 100071971. The reversal of 100071965 is 569170001.

It is a happy number.

It is not a de Polignac number, because 100071965 - 2⁴ = 100071949 is a prime.

It is a super-3 number, since 3×100071965³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1696106 + ... + 1696164.

It is an arithmetic number, because the mean of its divisors is an integer number (2376000).

Almost surely, 2^100071965 is an apocalyptic number.

It is an amenable number.

100071965 is a deficient number, since it is larger than the sum of its proper divisors (51992035).

100071965 is an equidigital number, since it uses as much as digits as its factorization.

100071965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 29.

The square root of 100071965 is about 10003.5976028627. The cubic root of 100071965 is about 464.2702006425.

The spelling of 100071965 in words is "one hundred million, seventy-one thousand, nine hundred sixty-five".