6105106100 has 36 divisors (see below), whose sum is σ = 13704917100. Its totient is φ = 2357832960.

The previous prime is 6105106099. The next prime is 6105106109. The reversal of 6105106100 is 16015016.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 669877924 + 5435228176 = 25882^2 + 73724^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105106109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1049705 + ... + 1055504.

Almost surely, 2^6105106100 is an apocalyptic number.

It is an amenable number.

6105106100 is an abundant number, since it is smaller than the sum of its proper divisors (7599811000).

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

6105106100 is a wasteful number, since it uses less digits than its factorization.

6105106100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105252 (or 2105245 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 6105106100 is about 78135.1783769641. The cubic root of 6105106100 is about 1827.6698122955.

The spelling of 6105106100 in words is "six billion, one hundred five million, one hundred six thousand, one hundred".