102208512 has 176 divisors, whose sum is σ = 320969600. Its totient is φ = 28901376.

The previous prime is 102208511. The next prime is 102208523. The reversal of 102208512 is 215802201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102208511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1053648 + ... + 1053744.

Almost surely, 2^102208512 is an apocalyptic number.

102208512 is a gapful number since it is divisible by the number (12) 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 102208512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160484800).

102208512 is an abundant number, since it is smaller than the sum of its proper divisors (218761088).

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

102208512 is an frugal number, since it uses more digits than its factorization.

102208512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 102208512 is about 10109.8225503715. The cubic root of 102208512 is about 467.5510341115.

The spelling of 102208512 in words is "one hundred two million, two hundred eight thousand, five hundred twelve".