100964965 has 8 divisors (see below), whose sum is σ = 121259160. Its totient is φ = 80704512.

The previous prime is 100964957. The next prime is 100964987. The reversal of 100964965 is 569469001.

It can be written as a sum of positive squares in 4 ways, for example, as 34363044 + 66601921 = 5862^2 + 8161^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 100964965 - 2³ = 100964957 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1300 + ... + 14269.

It is an arithmetic number, because the mean of its divisors is an integer number (15157395).

Almost surely, 2^100964965 is an apocalyptic number.

It is an amenable number.

100964965 is a deficient number, since it is larger than the sum of its proper divisors (20294195).

100964965 is a wasteful number, since it uses less digits than its factorization.

100964965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16871.

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 100964965 is about 10048.1324135383. The cubic root of 100964965 is about 465.6470969199.

The spelling of 100964965 in words is "one hundred million, nine hundred sixty-four thousand, nine hundred sixty-five".