109634 has 16 divisors (see below), whose sum is σ = 193536. Its totient is φ = 45600.

The previous prime is 109621. The next prime is 109639. The reversal of 109634 is 436901.

Added to its reverse (436901) it gives a triangular number (546535 = T₁₀₄₅).

109634 = 62² + 63² + ... + 82².

It is a super-2 number, since 2×109634² = 24039227912, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (109639) 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, 479 + ... + 669.

It is an arithmetic number, because the mean of its divisors is an integer number (12096).

2¹⁰⁹⁶³⁴ is an apocalyptic number.

109634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

109634 is a deficient number, since it is larger than the sum of its proper divisors (83902).

109634 is a wasteful number, since it uses less digits than its factorization.

109634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 109634 is about 331.1102535410. The cubic root of 109634 is about 47.8609983210.

Adding to 109634 its reverse (436901), we get a triangular number (546535 = T₁₀₄₅).

The spelling of 109634 in words is "one hundred nine thousand, six hundred thirty-four".