100504965 has 32 divisors (see below), whose sum is σ = 184665600. Its totient is φ = 46163520.

The previous prime is 100504961. The next prime is 100504979. The reversal of 100504965 is 569405001.

It is not a de Polignac number, because 100504965 - 2² = 100504961 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100504961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12895 + ... + 19164.

It is an arithmetic number, because the mean of its divisors is an integer number (5770800).

Almost surely, 2^100504965 is an apocalyptic number.

100504965 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100504965 is a deficient number, since it is larger than the sum of its proper divisors (84160635).

100504965 is a wasteful number, since it uses less digits than its factorization.

100504965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32097.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 100504965 is about 10025.2164565160. The cubic root of 100504965 is about 464.9388519431.

Adding to 100504965 its reverse (569405001), we get a palindrome (669909966).

The spelling of 100504965 in words is "one hundred million, five hundred four thousand, nine hundred sixty-five".