103645951761012 has 48 divisors (see below), whose sum is σ = 244504729120512. Its totient is φ = 34169915266560.

The previous prime is 103645951761007. The next prime is 103645951761017. The reversal of 103645951761012 is 210167159546301.

It is an interprime number because it is at equal distance from previous prime (103645951761007) and next prime (103645951761017).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103645951761017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115873633 + ... + 116764680.

It is an arithmetic number, because the mean of its divisors is an integer number (5093848523344).

Almost surely, 2^{103645951761012} is an apocalyptic number.

103645951761012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103645951761012 is an abundant number, since it is smaller than the sum of its proper divisors (140858777359500).

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

103645951761012 is a wasteful number, since it uses less digits than its factorization.

103645951761012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232638728 (or 232638726 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The spelling of 103645951761012 in words is "one hundred three trillion, six hundred forty-five billion, nine hundred fifty-one million, seven hundred sixty-one thousand, twelve".