102105216 has 96 divisors (see below), whose sum is σ = 298840620. Its totient is φ = 33454080.

The previous prime is 102105203. The next prime is 102105251. The reversal of 102105216 is 612501201.

It can be written as a sum of positive squares in 2 ways, for example, as 102090816 + 14400 = 10104^2 + 120^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69546 + ... + 70998.

Almost surely, 2^102105216 is an apocalyptic number.

102105216 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 102105216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149420310).

102105216 is an abundant number, since it is smaller than the sum of its proper divisors (196735404).

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

102105216 is a wasteful number, since it uses less digits than its factorization.

102105216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1534 (or 1519 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 102105216 is about 10104.7125639476. The cubic root of 102105216 is about 467.3934724439.

Adding to 102105216 its reverse (612501201), we get a palindrome (714606417).

The spelling of 102105216 in words is "one hundred two million, one hundred five thousand, two hundred sixteen".