100633 has 4 divisors (see below), whose sum is σ = 108388. Its totient is φ = 92880.

The previous prime is 100621. The next prime is 100649. The reversal of 100633 is 336001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 336001 = 277 ⋅1213.

It can be written as a sum of positive squares in 2 ways, for example, as 17689 + 82944 = 133^2 + 288^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13), and also a Moran number because the ratio is a prime number: 7741 = 100633 / (1 + 0 + 0 + 6 + 3 + 3).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3858 + ... + 3883.

It is an arithmetic number, because the mean of its divisors is an integer number (27097).

2¹⁰⁰⁶³³ is an apocalyptic number.

100633 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100633 is a deficient number, since it is larger than the sum of its proper divisors (7755).

100633 is an equidigital number, since it uses as much as digits as its factorization.

100633 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 100633 is about 317.2270480271. The cubic root of 100633 is about 46.5136199360.

Adding to 100633 its reverse (336001), we get a palindrome (436634).

The spelling of 100633 in words is "one hundred thousand, six hundred thirty-three".