100701 has 12 divisors (see below), whose sum is σ = 148512. Its totient is φ = 65736.

The previous prime is 100699. The next prime is 100703. The reversal of 100701 is 107001.

It is an interprime number because it is at equal distance from previous prime (100699) and next prime (100703).

It is not a de Polignac number, because 100701 - 2¹ = 100699 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a plaindrome in base 14.

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 100701.

It is not an unprimeable number, because it can be changed into a prime (100703) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520 + ... + 686.

It is an arithmetic number, because the mean of its divisors is an integer number (12376).

2¹⁰⁰⁷⁰¹ is an apocalyptic number.

100701 is the 201-st heptagonal number.

It is an amenable number.

100701 is a deficient number, since it is larger than the sum of its proper divisors (47811).

100701 is a wasteful number, since it uses less digits than its factorization.

100701 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 100701 is about 317.3342086823. The cubic root of 100701 is about 46.5240943463.

Adding to 100701 its reverse (107001), we get a palindrome (207702).

The spelling of 100701 in words is "one hundred thousand, seven hundred one", and thus it is an iban number.