102049 has 8 divisors (see below), whose sum is σ = 110880. Its totient is φ = 93600.

The previous prime is 102043. The next prime is 102059. The reversal of 102049 is 940201.

102049 = T₉₄ + T₉₅ + ... + T₁₁₂.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102049 - 2⁷ = 101921 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 714 + ... + 844.

It is an arithmetic number, because the mean of its divisors is an integer number (13860).

2¹⁰²⁰⁴⁹ is an apocalyptic number.

102049 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

102049 is a deficient number, since it is larger than the sum of its proper divisors (8831).

102049 is a wasteful number, since it uses less digits than its factorization.

102049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 102049 is about 319.4510917183. The cubic root of 102049 is about 46.7307679194.

The spelling of 102049 in words is "one hundred two thousand, forty-nine".