101607 has 8 divisors (see below), whose sum is σ = 147840. Its totient is φ = 61560.

The previous prime is 101603. The next prime is 101611. The reversal of 101607 is 706101.

It is an interprime number because it is at equal distance from previous prime (101603) and next prime (101611).

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

It is not a de Polignac number, because 101607 - 2² = 101603 is a prime.

101607 is a lucky number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101603) 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, 1507 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (18480).

2¹⁰¹⁶⁰⁷ is an apocalyptic number.

101607 is a deficient number, since it is larger than the sum of its proper divisors (46233).

101607 is a wasteful number, since it uses less digits than its factorization.

101607 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 101607 is about 318.7585292976. The cubic root of 101607 is about 46.6632026907.

Adding to 101607 its reverse (706101), we get a palindrome (807708).

The spelling of 101607 in words is "one hundred one thousand, six hundred seven".