102138516 has 48 divisors (see below), whose sum is σ = 280385280. Its totient is φ = 32042880.

The previous prime is 102138497. The next prime is 102138539. The reversal of 102138516 is 615831201.

102138516 is a `hidden beast` number, since 10 + 2 + 138 + 516 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 102138516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25980 + ... + 29651.

It is an arithmetic number, because the mean of its divisors is an integer number (5841360).

Almost surely, 2^102138516 is an apocalyptic number.

It is an amenable number.

102138516 is an abundant number, since it is smaller than the sum of its proper divisors (178246764).

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

102138516 is a wasteful number, since it uses less digits than its factorization.

102138516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55661 (or 55653 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 102138516 is about 10106.3601756518. The cubic root of 102138516 is about 467.4442779155. Note that the first 3 decimals are identical.

Adding to 102138516 its reverse (615831201), we get a palindrome (717969717).

The spelling of 102138516 in words is "one hundred two million, one hundred thirty-eight thousand, five hundred sixteen".