102047616 has 96 divisors (see below), whose sum is σ = 320388120. Its totient is φ = 30919680.

The previous prime is 102047611. The next prime is 102047641. The reversal of 102047616 is 616740201.

102047616 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 47 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 102047616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102047611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8646 + ... + 16698.

Almost surely, 2^102047616 is an apocalyptic number.

102047616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102047616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160194060).

102047616 is an abundant number, since it is smaller than the sum of its proper divisors (218340504).

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

102047616 is a wasteful number, since it uses less digits than its factorization.

102047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8084 (or 8069 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 102047616 is about 10101.8620065808. The cubic root of 102047616 is about 467.3055666246.

Adding to 102047616 its reverse (616740201), we get a palindrome (718787817).

The spelling of 102047616 in words is "one hundred two million, forty-seven thousand, six hundred sixteen".