102419 has 8 divisors (see below), whose sum is σ = 110112. Its totient is φ = 95040.

The previous prime is 102409. The next prime is 102433. The reversal of 102419 is 914201.

102419 = 7² + 8² + ... + 67².

It is a happy number.

102419 is nontrivially palindromic in base 2.

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 102419 - 2¹² = 98323 is a prime.

It is a super-2 number, since 2×102419² = 20979303122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102397 and 102406.

It is not an unprimeable number, because it can be changed into a prime (102409) 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, 1367 + ... + 1439.

It is an arithmetic number, because the mean of its divisors is an integer number (13764).

2¹⁰²⁴¹⁹ is an apocalyptic number.

102419 is a deficient number, since it is larger than the sum of its proper divisors (7693).

102419 is an equidigital number, since it uses as much as digits as its factorization.

102419 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157.

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 102419 is about 320.0296861230. The cubic root of 102419 is about 46.7871771917.

The spelling of 102419 in words is "one hundred two thousand, four hundred nineteen".