102087216 has 360 divisors, whose sum is σ = 384197632. Its totient is φ = 25660800.

The previous prime is 102087187. The next prime is 102087217. The reversal of 102087216 is 612780201.

102087216 = 73³ + 74³ + ... + 144³.

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 102087216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102087217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3293121 + ... + 3293151.

Almost surely, 2^102087216 is an apocalyptic number.

102087216 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 102087216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192098816).

102087216 is an abundant number, since it is smaller than the sum of its proper divisors (282110416).

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

102087216 is a wasteful number, since it uses less digits than its factorization.

102087216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 102087216 is about 10103.8218511611. The cubic root of 102087216 is about 467.3660054275.

It can be divided in two parts, 10208 and 7216, that added together give a square (17424 = 132²).

The spelling of 102087216 in words is "one hundred two million, eighty-seven thousand, two hundred sixteen".