102205900260 has 144 divisors (see below), whose sum is σ = 328797705600. Its totient is φ = 25609761792.

The previous prime is 102205900249. The next prime is 102205900301. The reversal of 102205900260 is 62009502201.

102205900260 is a `hidden beast` number, since 10 + 2 + 2 + 0 + 590 + 0 + 2 + 60 = 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, 1867161 + ... + 1921119.

It is an arithmetic number, because the mean of its divisors is an integer number (2283317400).

Almost surely, 2^102205900260 is an apocalyptic number.

102205900260 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 102205900260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164398852800).

102205900260 is an abundant number, since it is smaller than the sum of its proper divisors (226591805340).

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

102205900260 is a wasteful number, since it uses less digits than its factorization.

102205900260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54610 (or 54605 counting only the distinct ones).

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

The spelling of 102205900260 in words is "one hundred two billion, two hundred five million, nine hundred thousand, two hundred sixty".