104949 has 24 divisors (see below), whose sum is σ = 175680. Its totient is φ = 61776.

The previous prime is 104947. The next prime is 104953. The reversal of 104949 is 949401.

It is not a de Polignac number, because 104949 - 2¹ = 104947 is a prime.

It is a super-2 number, since 2×104949² = 22028585202, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

104949 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4552 + ... + 4574.

It is an arithmetic number, because the mean of its divisors is an integer number (7320).

2¹⁰⁴⁹⁴⁹ is an apocalyptic number.

It is an amenable number.

104949 is a deficient number, since it is larger than the sum of its proper divisors (70731).

104949 is a wasteful number, since it uses less digits than its factorization.

104949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 104949 is about 323.9583306538. The cubic root of 104949 is about 47.1693003950.

Adding to 104949 its sum of digits (27), we get a 4-th power (104976 = 18⁴).

The spelling of 104949 in words is "one hundred four thousand, nine hundred forty-nine".