6105431772 has 144 divisors (see below), whose sum is σ = 17428669440. Its totient is φ = 1785369600.

The previous prime is 6105431771. The next prime is 6105431779. The reversal of 6105431772 is 2771345016.

It is a happy number.

6105431772 is a `hidden beast` number, since 610 + 5 + 4 + 31 + 7 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105431771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8261379 + ... + 8262117.

Almost surely, 2^6105431772 is an apocalyptic number.

6105431772 is a gapful number since it is divisible by the number (62) 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 6105431772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8714334720).

6105431772 is an abundant number, since it is smaller than the sum of its proper divisors (11323237668).

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

6105431772 is a wasteful number, since it uses less digits than its factorization.

6105431772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 1459 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 6105431772 is about 78137.2623784581. The cubic root of 6105431772 is about 1827.7023102456.

Adding to 6105431772 its reverse (2771345016), we get a palindrome (8876776788).

The spelling of 6105431772 in words is "six billion, one hundred five million, four hundred thirty-one thousand, seven hundred seventy-two".