100637 has 4 divisors (see below), whose sum is σ = 101436. Its totient is φ = 99840.

The previous prime is 100621. The next prime is 100649. The reversal of 100637 is 736001.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 736001 = 7 ⋅105143.

It can be written as a sum of positive squares in 2 ways, for example, as 63001 + 37636 = 251^2 + 194^2 .

It is a cyclic number.

It is not a de Polignac number, because 100637 - 2⁴ = 100621 is a prime.

It is a Duffinian number.

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 100637.

It is not an unprimeable number, because it can be changed into a prime (100237) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 164 + ... + 477.

It is an arithmetic number, because the mean of its divisors is an integer number (25359).

2¹⁰⁰⁶³⁷ is an apocalyptic number.

It is an amenable number.

100637 is a deficient number, since it is larger than the sum of its proper divisors (799).

100637 is an equidigital number, since it uses as much as digits as its factorization.

100637 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798.

The product of its (nonzero) digits is 126, while the sum is 17.

The square root of 100637 is about 317.2333525971. The cubic root of 100637 is about 46.5142362084.

Adding to 100637 its reverse (736001), we get a palindrome (836638).

It can be divided in two parts, 100 and 637, that added together give a palindrome (737).

The spelling of 100637 in words is "one hundred thousand, six hundred thirty-seven".