102218550 has 96 divisors (see below), whose sum is σ = 294243072. Its totient is φ = 22999680.

The previous prime is 102218549. The next prime is 102218551. The reversal of 102218550 is 55812201.

It is an interprime number because it is at equal distance from previous prime (102218549) and next prime (102218551).

It is a self number, because there is not a number n which added to its sum of digits gives 102218550.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102218551) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69624 + ... + 71076.

It is an arithmetic number, because the mean of its divisors is an integer number (3065032).

Almost surely, 2^102218550 is an apocalyptic number.

102218550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102218550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147121536).

102218550 is an abundant number, since it is smaller than the sum of its proper divisors (192024522).

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

102218550 is a wasteful number, since it uses less digits than its factorization.

102218550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 102218550 is about 10110.3189860657. The cubic root of 102218550 is about 467.5663398284.

The spelling of 102218550 in words is "one hundred two million, two hundred eighteen thousand, five hundred fifty".