6105440400 has 120 divisors (see below), whose sum is σ = 19580874720. Its totient is φ = 1626193920.

The previous prime is 6105440357. The next prime is 6105440443. The reversal of 6105440400 is 40445016.

It is an interprime number because it is at equal distance from previous prime (6105440357) and next prime (6105440443).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1220304 + ... + 1225296.

It is an arithmetic number, because the mean of its divisors is an integer number (163173956).

Almost surely, 2^6105440400 is an apocalyptic number.

6105440400 is a gapful number since it is divisible by the number (60) 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 6105440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9790437360).

6105440400 is an abundant number, since it is smaller than the sum of its proper divisors (13475434320).

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

6105440400 is a wasteful number, since it uses less digits than its factorization.

6105440400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6033 (or 6022 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 6105440400 is about 78137.3175889728. The cubic root of 6105440400 is about 1827.7031711952.

Adding to 6105440400 its reverse (40445016), we get a palindrome (6145885416).

The spelling of 6105440400 in words is "six billion, one hundred five million, four hundred forty thousand, four hundred".