31104034560 has 144 divisors (see below), whose sum is σ = 110376245280. Its totient is φ = 8294400000.

The previous prime is 31104034553. The next prime is 31104034561. The reversal of 31104034560 is 6543040113.

31104034560 is a `hidden beast` number, since 31 + 1 + 0 + 40 + 34 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31104034561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415441 + ... + 484560.

Almost surely, 2^31104034560 is an apocalyptic number.

31104034560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31104034560 is an abundant number, since it is smaller than the sum of its proper divisors (79272210720).

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

31104034560 is an equidigital number, since it uses as much as digits as its factorization.

31104034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900031 (or 900011 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 31104034560 its reverse (6543040113), we get a palindrome (37647074673).

It can be divided in two parts, 311040 and 34560, that multiplied together give a square (10749542400 = 103680²).

The spelling of 31104034560 in words is "thirty-one billion, one hundred four million, thirty-four thousand, five hundred sixty".