100629 has 8 divisors (see below), whose sum is σ = 149120. Its totient is φ = 67068.

The previous prime is 100621. The next prime is 100649. The reversal of 100629 is 926001.

It is not a de Polignac number, because 100629 - 2³ = 100621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100621) 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 7 ways as a sum of consecutive naturals, for example, 1837 + ... + 1890.

It is an arithmetic number, because the mean of its divisors is an integer number (18640).

2¹⁰⁰⁶²⁹ is an apocalyptic number.

It is an amenable number.

100629 is a deficient number, since it is larger than the sum of its proper divisors (48491).

100629 is an equidigital number, since it uses as much as digits as its factorization.

100629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3736 (or 3730 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 100629 is about 317.2207433318. The cubic root of 100629 is about 46.5130036473.

It can be divided in two parts, 1006 and 29, that added together give a triangular number (1035 = T₄₅).

The spelling of 100629 in words is "one hundred thousand, six hundred twenty-nine".