102609091200 has 768 divisors, whose sum is σ = 425069936640. Its totient is φ = 21134131200.

The previous prime is 102609091199. The next prime is 102609091219. The reversal of 102609091200 is 2190906201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93877854 + ... + 93878946.

It is an arithmetic number, because the mean of its divisors is an integer number (553476480).

Almost surely, 2^102609091200 is an apocalyptic number.

102609091200 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 102609091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212534968320).

102609091200 is an abundant number, since it is smaller than the sum of its proper divisors (322460845440).

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

102609091200 is a wasteful number, since it uses less digits than its factorization.

102609091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1248 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

Adding to 102609091200 its reverse (2190906201), we get a palindrome (104799997401).

The spelling of 102609091200 in words is "one hundred two billion, six hundred nine million, ninety-one thousand, two hundred".