102005519 has 16 divisors (see below), whose sum is σ = 127585536. Its totient is φ = 79228800.

The previous prime is 102005489. The next prime is 102005521. The reversal of 102005519 is 915500201.

It is not a de Polignac number, because 102005519 - 2²⁰ = 100956943 is a prime.

It is a super-2 number, since 2×102005519² = 20810251812918722, 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 = 102005494 and 102005503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102005719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23984 + ... + 27914.

It is an arithmetic number, because the mean of its divisors is an integer number (7974096).

Almost surely, 2^102005519 is an apocalyptic number.

102005519 is a deficient number, since it is larger than the sum of its proper divisors (25580017).

102005519 is a wasteful number, since it uses less digits than its factorization.

102005519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286.

The product of its (nonzero) digits is 450, while the sum is 23.

The square root of 102005519 is about 10099.7781658807. The cubic root of 102005519 is about 467.2412996712.

The spelling of 102005519 in words is "one hundred two million, five thousand, five hundred nineteen".