102104919 has 24 divisors (see below), whose sum is σ = 172478592. Its totient is φ = 56987280.

The previous prime is 102104909. The next prime is 102104921. The reversal of 102104919 is 919401201.

It is not a de Polignac number, because 102104919 - 2⁷ = 102104791 is a prime.

It is a super-2 number, since 2×102104919² = 20850828967993122, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102104892 and 102104901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102104909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16137 + ... + 21554.

It is an arithmetic number, because the mean of its divisors is an integer number (7186608).

Almost surely, 2^102104919 is an apocalyptic number.

102104919 is a deficient number, since it is larger than the sum of its proper divisors (70373673).

102104919 is a wasteful number, since it uses less digits than its factorization.

102104919 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37747 (or 37744 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 102104919 is about 10104.6978678237. The cubic root of 102104919 is about 467.3930192644.

It can be divided in two parts, 10210 and 4919, that added together give a square (15129 = 123²).

The spelling of 102104919 in words is "one hundred two million, one hundred four thousand, nine hundred nineteen".