103132246536 has 144 divisors (see below), whose sum is σ = 307196651580. Its totient is φ = 31233945600.

The previous prime is 103132246531. The next prime is 103132246549. The reversal of 103132246536 is 635642231301.

103132246536 is a `hidden beast` number, since 103 + 13 + 2 + 2 + 4 + 6 + 536 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74696169636 + 28436076900 = 273306^2 + 168630^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103132246536.

It is not an unprimeable number, because it can be changed into a prime (103132246531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27188256 + ... + 27192048.

Almost surely, 2^103132246536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103132246536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153598325790).

103132246536 is an abundant number, since it is smaller than the sum of its proper divisors (204064405044).

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

103132246536 is a wasteful number, since it uses less digits than its factorization.

103132246536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6948 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 103132246536 its reverse (635642231301), we get a palindrome (738774477837).

The spelling of 103132246536 in words is "one hundred three billion, one hundred thirty-two million, two hundred forty-six thousand, five hundred thirty-six".