100607 has 8 divisors (see below), whose sum is σ = 110880. Its totient is φ = 90720.

The previous prime is 100591. The next prime is 100609. The reversal of 100607 is 706001.

It is a happy number.

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 100607 - 2⁴ = 100591 is a prime.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 100591 and 100600.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100607.

It is not an unprimeable number, because it can be changed into a prime (100609) by changing a digit.

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, 869 + ... + 977.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁰⁰⁶⁰⁷ is an apocalyptic number.

100607 is a deficient number, since it is larger than the sum of its proper divisors (10273).

100607 is a wasteful number, since it uses less digits than its factorization.

100607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 100607 is about 317.1860652677. The cubic root of 100607 is about 46.5096137674.

Adding to 100607 its reverse (706001), we get a palindrome (806608).

It can be divided in two parts, 100 and 607, that added together give a palindrome (707).

The spelling of 100607 in words is "one hundred thousand, six hundred seven".