103642641135 has 48 divisors (see below), whose sum is σ = 196225454880. Its totient is φ = 50187736320.

The previous prime is 103642641083. The next prime is 103642641181. The reversal of 103642641135 is 531146246301.

103642641135 is a `hidden beast` number, since 1 + 0 + 3 + 6 + 4 + 2 + 641 + 1 + 3 + 5 = 666.

It is not a de Polignac number, because 103642641135 - 2⁶ = 103642641071 is a prime.

It is a super-3 number, since 3×103642641135³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 103642641135.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 263161 + ... + 525869.

It is an arithmetic number, because the mean of its divisors is an integer number (4088030310).

Almost surely, 2^103642641135 is an apocalyptic number.

103642641135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

103642641135 is a deficient number, since it is larger than the sum of its proper divisors (92582813745).

103642641135 is a wasteful number, since it uses less digits than its factorization.

103642641135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263528 (or 263525 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 103642641135 its reverse (531146246301), we get a palindrome (634788887436).

The spelling of 103642641135 in words is "one hundred three billion, six hundred forty-two million, six hundred forty-one thousand, one hundred thirty-five".