103387012221105 has 96 divisors (see below), whose sum is σ = 184697299262112. Its totient is φ = 53475390259200.

The previous prime is 103387012221047. The next prime is 103387012221107. The reversal of 103387012221105 is 501122210783301.

103387012221105 is a `hidden beast` number, since 10 + 338 + 70 + 12 + 221 + 10 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 102909175981056 + 477836240049 = 10144416^2 + 691257^2 .

It is not a de Polignac number, because 103387012221105 - 2⁴⁰ = 102287500593329 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103387012221105.

It is not an unprimeable number, because it can be changed into a prime (103387012221107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 625318929 + ... + 625484241.

It is an arithmetic number, because the mean of its divisors is an integer number (1923930200647).

Almost surely, 2^{103387012221105} is an apocalyptic number.

103387012221105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

103387012221105 is a deficient number, since it is larger than the sum of its proper divisors (81310287041007).

103387012221105 is a wasteful number, since it uses less digits than its factorization.

103387012221105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168579 (or 168576 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 103387012221105 in words is "one hundred three trillion, three hundred eighty-seven billion, twelve million, two hundred twenty-one thousand, one hundred five".