102170218400 has 72 divisors (see below), whose sum is σ = 249638334624. Its totient is φ = 40832812800.

The previous prime is 102170218373. The next prime is 102170218439. The reversal of 102170218400 is 4812071201.

It is a self number, because there is not a number n which added to its sum of digits gives 102170218400.

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, 882269 + ... + 991331.

It is an arithmetic number, because the mean of its divisors is an integer number (3467199092).

Almost surely, 2^102170218400 is an apocalyptic number.

102170218400 is a gapful number since it is divisible by the number (10) 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 102170218400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124819167312).

102170218400 is an abundant number, since it is smaller than the sum of its proper divisors (147468116224).

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

102170218400 is a wasteful number, since it uses less digits than its factorization.

102170218400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110254 (or 110241 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 26.

Adding to 102170218400 its reverse (4812071201), we get a palindrome (106982289601).

The spelling of 102170218400 in words is "one hundred two billion, one hundred seventy million, two hundred eighteen thousand, four hundred".