109629 has 12 divisors (see below), whose sum is σ = 170716. Its totient is φ = 67392.

The previous prime is 109621. The next prime is 109639. The reversal of 109629 is 926901.

109629 = 52² + 53² + ... + 77².

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 99225 = 102^2 + 315^2 .

It is not a de Polignac number, because 109629 - 2³ = 109621 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109621) 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, 352 + ... + 585.

2¹⁰⁹⁶²⁹ is an apocalyptic number.

It is an amenable number.

109629 is a deficient number, since it is larger than the sum of its proper divisors (61087).

109629 is a wasteful number, since it uses less digits than its factorization.

109629 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 953 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 109629 is about 331.1027030998. The cubic root of 109629 is about 47.8602707224.

The spelling of 109629 in words is "one hundred nine thousand, six hundred twenty-nine".