103226995200 has 240 divisors, whose sum is σ = 389719788480. Its totient is φ = 23594680320.

The previous prime is 103226995199. The next prime is 103226995217. The reversal of 103226995200 is 2599622301.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76786 + ... + 460814.

It is an arithmetic number, because the mean of its divisors is an integer number (1623832452).

Almost surely, 2^103226995200 is an apocalyptic number.

103226995200 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 103226995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194859894240).

103226995200 is an abundant number, since it is smaller than the sum of its proper divisors (286492793280).

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

103226995200 is an equidigital number, since it uses as much as digits as its factorization.

103226995200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384067 (or 384046 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 103226995200 in words is "one hundred three billion, two hundred twenty-six million, nine hundred ninety-five thousand, two hundred".