100005465 has 32 divisors (see below), whose sum is σ = 183730176. Its totient is φ = 45501120.

The previous prime is 100005463. The next prime is 100005467. The reversal of 100005465 is 564500001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100005463) and next prime (100005467).

It is not a de Polignac number, because 100005465 - 2¹ = 100005463 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100005461) 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, 21280 + ... + 25550.

It is an arithmetic number, because the mean of its divisors is an integer number (5741568).

Almost surely, 2^100005465 is an apocalyptic number.

100005465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100005465 is a deficient number, since it is larger than the sum of its proper divisors (83724711).

100005465 is a wasteful number, since it uses less digits than its factorization.

100005465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4509.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 100005465 is about 10000.2732462668. The cubic root of 100005465 is about 464.1673386349.

Adding to 100005465 its reverse (564500001), we get a palindrome (664505466).

The spelling of 100005465 in words is "one hundred million, five thousand, four hundred sixty-five".