102116448 has 144 divisors (see below), whose sum is σ = 341097120. Its totient is φ = 28387584.

The previous prime is 102116447. The next prime is 102116471. The reversal of 102116448 is 844611201.

It is a happy number.

102116448 is a `hidden beast` number, since 1 + 0 + 2 + 11 + 644 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102116447) 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, 2759886 + ... + 2759922.

It is an arithmetic number, because the mean of its divisors is an integer number (2368730).

Almost surely, 2^102116448 is an apocalyptic number.

102116448 is a gapful number since it is divisible by the number (18) 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 102116448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170548560).

102116448 is an abundant number, since it is smaller than the sum of its proper divisors (238980672).

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

102116448 is an frugal number, since it uses more digits than its factorization.

102116448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 102116448 is about 10105.2683289460. The cubic root of 102116448 is about 467.4106102266.

Adding to 102116448 its reverse (844611201), we get a palindrome (946727649).

The spelling of 102116448 in words is "one hundred two million, one hundred sixteen thousand, four hundred forty-eight".