100613965 has 8 divisors (see below), whose sum is σ = 120836088. Its totient is φ = 80424960.

The previous prime is 100613923. The next prime is 100613969. The reversal of 100613965 is 569316001.

It can be written as a sum of positive squares in 4 ways, for example, as 14235529 + 86378436 = 3773^2 + 9294^2 .

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

It is not a de Polignac number, because 100613965 - 2⁹ = 100613453 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100613969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1012 + ... + 14221.

It is an arithmetic number, because the mean of its divisors is an integer number (15104511).

Almost surely, 2^100613965 is an apocalyptic number.

It is an amenable number.

100613965 is a deficient number, since it is larger than the sum of its proper divisors (20222123).

100613965 is a wasteful number, since it uses less digits than its factorization.

100613965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16559.

The product of its (nonzero) digits is 4860, while the sum is 31.

The square root of 100613965 is about 10030.6512749671. The cubic root of 100613965 is about 465.1068702603.

Adding to 100613965 its reverse (569316001), we get a palindrome (669929966).

The spelling of 100613965 in words is "one hundred million, six hundred thirteen thousand, nine hundred sixty-five".