233105104000 has 64 divisors (see below), whose sum is σ = 579557604600. Its totient is φ = 93242035200.

The previous prime is 233105103941. The next prime is 233105104087. The reversal of 233105104000 is 401501332.

It can be written as a sum of positive squares in 4 ways, for example, as 87138316864 + 145966787136 = 295192^2 + 382056^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×233105104000³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7268535 + ... + 7300534.

Almost surely, 2^233105104000 is an apocalyptic number.

233105104000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233105104000 is an abundant number, since it is smaller than the sum of its proper divisors (346452500600).

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

233105104000 is an equidigital number, since it uses as much as digits as its factorization.

233105104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14569098 (or 14569076 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 233105104000 its reverse (401501332), we get a palindrome (233506605332).

The spelling of 233105104000 in words is "two hundred thirty-three billion, one hundred five million, one hundred four thousand".