102205314090 has 96 divisors (see below), whose sum is σ = 290192715072. Its totient is φ = 24751296000.

The previous prime is 102205314089. The next prime is 102205314137. The reversal of 102205314090 is 90413502201.

102205314090 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 0 + 531 + 40 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908130 + ... + 1014450.

It is an arithmetic number, because the mean of its divisors is an integer number (3022840782).

Almost surely, 2^102205314090 is an apocalyptic number.

102205314090 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 102205314090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145096357536).

102205314090 is an abundant number, since it is smaller than the sum of its proper divisors (187987400982).

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

102205314090 is a wasteful number, since it uses less digits than its factorization.

102205314090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107316 (or 107313 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102205314090 its reverse (90413502201), we get a palindrome (192618816291).

The spelling of 102205314090 in words is "one hundred two billion, two hundred five million, three hundred fourteen thousand, ninety".