102504016 has 20 divisors (see below), whose sum is σ = 210284532. Its totient is φ = 48237056.

The previous prime is 102504007. The next prime is 102504019. The reversal of 102504016 is 610405201.

It can be written as a sum of positive squares in 2 ways, for example, as 64064016 + 38440000 = 8004^2 + 6200^2 .

It is a super-2 number, since 2×102504016² = 21014146592256512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102503984 and 102504002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102504019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 188155 + ... + 188698.

Almost surely, 2^102504016 is an apocalyptic number.

102504016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

102504016 is an abundant number, since it is smaller than the sum of its proper divisors (107780516).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102504016 is a wasteful number, since it uses less digits than its factorization.

102504016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376878 (or 376872 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 102504016 is about 10124.4266998186. The cubic root of 102504016 is about 468.0011931691.

Adding to 102504016 its reverse (610405201), we get a palindrome (712909217).

The spelling of 102504016 in words is "one hundred two million, five hundred four thousand, sixteen".